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Finding the Fourth Proportional to 363.27, 545.01 and 146.80

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Solution

The fourth proportional to 363.27, 545.01 and 146.80 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.27 : 545.01 = 146.80 : x
  2. Step 2: Convert to fraction form
    363.27/545.01 = 146.80/x
  3. Step 3: Cross multiply
    363.27x = 545.01 × 146.80
  4. Step 4: Simplify right side
    363.27x = 80,007.47
  5. Step 5: Solve for x
    x = 80,007.47/363.27
  6. Step 6: Final answer
    x = 220.24

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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.