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Finding the Fourth Proportional to 542.96, 814.42 and 132.10

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Solution

The fourth proportional to 542.96, 814.42 and 132.10 is: 198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.96 : 814.42 = 132.10 : x
  2. Step 2: Convert to fraction form
    542.96/814.42 = 132.10/x
  3. Step 3: Cross multiply
    542.96x = 814.42 × 132.10
  4. Step 4: Simplify right side
    542.96x = 107,581.86
  5. Step 5: Solve for x
    x = 107,581.86/542.96
  6. Step 6: Final answer
    x = 198.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.