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Finding the Fourth Proportional to 363.13, 545.03 and 168.23

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Solution

The fourth proportional to 363.13, 545.03 and 168.23 is: 252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.13 : 545.03 = 168.23 : x
  2. Step 2: Convert to fraction form
    363.13/545.03 = 168.23/x
  3. Step 3: Cross multiply
    363.13x = 545.03 × 168.23
  4. Step 4: Simplify right side
    363.13x = 91,689.56
  5. Step 5: Solve for x
    x = 91,689.56/363.13
  6. Step 6: Final answer
    x = 252.50

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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.