Finding the Fourth Proportional to 207.13, 285.84 and 119.81
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Solution
The fourth proportional to 207.13, 285.84 and 119.81 is: 165.33
Step by Step Solution
- Step 1: Write the proportion equation
207.13 : 285.84 = 119.81 : x - Step 2: Convert to fraction form
207.13/285.84 = 119.81/x - Step 3: Cross multiply
207.13x = 285.84 × 119.81 - Step 4: Simplify right side
207.13x = 34,244.46 - Step 5: Solve for x
x = 34,244.46/207.13 - Step 6: Final answer
x = 165.33
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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.