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Finding the Fourth Proportional to 363.57, 545.52 and 168.44

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Solution

The fourth proportional to 363.57, 545.52 and 168.44 is: 252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.57 : 545.52 = 168.44 : x
  2. Step 2: Convert to fraction form
    363.57/545.52 = 168.44/x
  3. Step 3: Cross multiply
    363.57x = 545.52 × 168.44
  4. Step 4: Simplify right side
    363.57x = 91,886.55
  5. Step 5: Solve for x
    x = 91,886.55/363.57
  6. Step 6: Final answer
    x = 252.74

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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.