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Finding the Fourth Proportional to 363.86, 545.71 and 120.38

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Solution

The fourth proportional to 363.86, 545.71 and 120.38 is: 180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.86 : 545.71 = 120.38 : x
  2. Step 2: Convert to fraction form
    363.86/545.71 = 120.38/x
  3. Step 3: Cross multiply
    363.86x = 545.71 × 120.38
  4. Step 4: Simplify right side
    363.86x = 65,692.57
  5. Step 5: Solve for x
    x = 65,692.57/363.86
  6. Step 6: Final answer
    x = 180.54

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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.