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Finding the Fourth Proportional to 363.85, 545.78 and 147.38

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Solution

The fourth proportional to 363.85, 545.78 and 147.38 is: 221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.85 : 545.78 = 147.38 : x
  2. Step 2: Convert to fraction form
    363.85/545.78 = 147.38/x
  3. Step 3: Cross multiply
    363.85x = 545.78 × 147.38
  4. Step 4: Simplify right side
    363.85x = 80,434.70
  5. Step 5: Solve for x
    x = 80,434.70/363.85
  6. Step 6: Final answer
    x = 221.07

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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.