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Choose all of the ratios that are proportional. 48/64 ​ = 3/4, ​ 195/26 ​ = 30/4, ​ 176/8 ​ = 308/1, ​ 5/8 ​ = 12/20.

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To determine which of the given ratios are proportional, we need to simplify each ratio and check if they are equivalent.

  1. 48/64: \[ \frac{48}{64} = \frac{48 \div 16}{64 \div 16} = \frac{3}{4} \]

  2. 195/26: \[ \frac{195}{26} = \frac{195 \div 13}{26 \div 13} = \frac{15}{2} \quad \text{(not equal to } \frac{30}{4} = \frac{15}{2} \text{, but we will check further)} \]

  3. 176/8: \[ \frac{176}{8} = \frac{176 \div 8}{8 \div 8} = \frac{22}{1} \quad \text{(not equal to } \frac{308}{1} \text{)} \]

  4. 5/8: \[ \frac{5}{8} \quad \text{and} \quad \frac{12}{20} = \frac{12 \div 4}{20 \div 4} = \frac{3}{5} \quad \text{(not equal to } \frac{5}{8} \text{)} \]

Now, we will summarize the results:

  • \( \frac{48}{64} = \frac{3}{4} \)
  • \( \frac{195}{26} = \frac{15}{2} \) (equal to \( \frac{30}{4} = \frac{15}{2} \))
  • \( \frac{176}{8} = \frac{22}{1} \) (not equal to \( \frac{308}{1} \))
  • \( \frac{5}{8} \) is not equal to \( \frac{12}{20} \) (which simplifies to \( \frac{3}{5} \))

The proportional ratios among the choices are:

  • \( 48/64 = 3/4 \)
  • \( 195/26 = 30/4 \)

Thus, the proportional ratios are:

  • \( \frac{48}{64} = \frac{3}{4} \)
  • \( \frac{195}{26} = \frac{30}{4} \)

Final selection of ratios that are proportional: 48/64 = 3/4 and 195/26 = 30/4.