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Finding the Fourth Proportional to 542.42, 813.72 and 177.13

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Solution

The fourth proportional to 542.42, 813.72 and 177.13 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.42 : 813.72 = 177.13 : x
  2. Step 2: Convert to fraction form
    542.42/813.72 = 177.13/x
  3. Step 3: Cross multiply
    542.42x = 813.72 × 177.13
  4. Step 4: Simplify right side
    542.42x = 144,132.19
  5. Step 5: Solve for x
    x = 144,132.19/542.42
  6. Step 6: Final answer
    x = 265.72

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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.