To convert pounds to kilograms using the given approximation that 1 kilogram is approximately 2.2 pounds, we can set up the proportion as follows:
\[ \frac{2.2 \text{ pounds}}{1 \text{ kilogram}} = \frac{185 \text{ pounds}}{x \text{ kilograms}} \]
Where \( x \) is the number of kilograms we want to find.
To solve for \( x \), we can cross-multiply:
\[ 2.2 \text{ pounds} \cdot x \text{ kilograms} = 185 \text{ pounds} \cdot 1 \text{ kilogram} \]
This simplifies to:
\[ 2.2x = 185 \]
Now, divide both sides by 2.2:
\[ x = \frac{185}{2.2} \approx 84.09 \]
Rounding to the nearest whole number, we find:
\[ x \approx 84 \]
So, the final answer is that 185 pounds is approximately 84 kilograms.
To summarize the complete proportion used:
\[ \frac{2.2 \text{ pounds}}{1 \text{ kilogram}} = \frac{185 \text{ pounds}}{84 \text{ kilograms}} \]