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Finding the Fourth Proportional to 363.50, 545.24 and 158.07

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Solution

The fourth proportional to 363.50, 545.24 and 158.07 is: 237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 545.24 = 158.07 : x
  2. Step 2: Convert to fraction form
    363.50/545.24 = 158.07/x
  3. Step 3: Cross multiply
    363.50x = 545.24 × 158.07
  4. Step 4: Simplify right side
    363.50x = 86,188.04
  5. Step 5: Solve for x
    x = 86,188.04/363.50
  6. Step 6: Final answer
    x = 237.10

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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.