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Finding the Fourth Proportional to 363.92, 545.74 and 132.80

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Solution

The fourth proportional to 363.92, 545.74 and 132.80 is: 199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 545.74 = 132.80 : x
  2. Step 2: Convert to fraction form
    363.92/545.74 = 132.80/x
  3. Step 3: Cross multiply
    363.92x = 545.74 × 132.80
  4. Step 4: Simplify right side
    363.92x = 72,471.21
  5. Step 5: Solve for x
    x = 72,471.21/363.92
  6. Step 6: Final answer
    x = 199.14

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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.