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Finding the Fourth Proportional to 363.02, 545.07 and 147.02

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Solution

The fourth proportional to 363.02, 545.07 and 147.02 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.02 : 545.07 = 147.02 : x
  2. Step 2: Convert to fraction form
    363.02/545.07 = 147.02/x
  3. Step 3: Cross multiply
    363.02x = 545.07 × 147.02
  4. Step 4: Simplify right side
    363.02x = 80,136.19
  5. Step 5: Solve for x
    x = 80,136.19/363.02
  6. Step 6: Final answer
    x = 220.75

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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.