Finding the Fourth Proportional to 207.29, 286.11 and 120.02
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Solution
The fourth proportional to 207.29, 286.11 and 120.02 is: 165.65
Step by Step Solution
- Step 1: Write the proportion equation
207.29 : 286.11 = 120.02 : x - Step 2: Convert to fraction form
207.29/286.11 = 120.02/x - Step 3: Cross multiply
207.29x = 286.11 × 120.02 - Step 4: Simplify right side
207.29x = 34,337.49 - Step 5: Solve for x
x = 34,337.49/207.29 - Step 6: Final answer
x = 165.65
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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.