Finding the Fourth Proportional to 207.65, 286.63 and 166.19
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Solution
The fourth proportional to 207.65, 286.63 and 166.19 is: 229.39
Step by Step Solution
- Step 1: Write the proportion equation
207.65 : 286.63 = 166.19 : x - Step 2: Convert to fraction form
207.65/286.63 = 166.19/x - Step 3: Cross multiply
207.65x = 286.63 × 166.19 - Step 4: Simplify right side
207.65x = 47,633.19 - Step 5: Solve for x
x = 47,633.19/207.65 - Step 6: Final answer
x = 229.39
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.