To solve the equation \( 143.2r = 41 \) for the variable \( r \), follow these steps:
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Divide both sides by \( 143.2 \): \[ r = \frac{41}{143.2} \]
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Calculate the value of \( r \): \[ r \approx 0.286 \]
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None of the given responses match \( 0.286 \), so let's ensure all calculations are precise.
Using a calculator: \[ r \approx 0.2865 \]
It seems the previous options given may not include the correct answer. Let's verify if any approximation was close to \( 0.2865 \).
Among the responses provided:
- \( r \approx 0.1067 \)
- \( r \approx 0.9152 \)
- \( r \approx 1.093 \)
None of these match since they are too far from \( 0.2865 \). If reevaluating we find:
- Revisiting division:
- \( 41/143.2 \approx 0.2865 \)
If options refer to approximations they may not list the correct option.
Thus, none of the prescribed responses are valid so can conclude \( \approx 0.286 \).