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Finding the Fourth Proportional to 363.43, 545.09 and 146.96

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Solution

The fourth proportional to 363.43, 545.09 and 146.96 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.43 : 545.09 = 146.96 : x
  2. Step 2: Convert to fraction form
    363.43/545.09 = 146.96/x
  3. Step 3: Cross multiply
    363.43x = 545.09 × 146.96
  4. Step 4: Simplify right side
    363.43x = 80,102.97
  5. Step 5: Solve for x
    x = 80,102.97/363.43
  6. Step 6: Final answer
    x = 220.41

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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.