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Finding the Fourth Proportional to 363.71, 545.24 and 132.55

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Solution

The fourth proportional to 363.71, 545.24 and 132.55 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.71 : 545.24 = 132.55 : x
  2. Step 2: Convert to fraction form
    363.71/545.24 = 132.55/x
  3. Step 3: Cross multiply
    363.71x = 545.24 × 132.55
  4. Step 4: Simplify right side
    363.71x = 72,272.43
  5. Step 5: Solve for x
    x = 72,272.43/363.71
  6. Step 6: Final answer
    x = 198.71

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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.