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Finding the Fourth Proportional to 363.61, 545.29 and 132.44

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Solution

The fourth proportional to 363.61, 545.29 and 132.44 is: 198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.61 : 545.29 = 132.44 : x
  2. Step 2: Convert to fraction form
    363.61/545.29 = 132.44/x
  3. Step 3: Cross multiply
    363.61x = 545.29 × 132.44
  4. Step 4: Simplify right side
    363.61x = 72,219.24
  5. Step 5: Solve for x
    x = 72,219.24/363.61
  6. Step 6: Final answer
    x = 198.62

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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.