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Finding the Fourth Proportional to 363.32, 545.02 and 119.80

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Solution

The fourth proportional to 363.32, 545.02 and 119.80 is: 179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.32 : 545.02 = 119.80 : x
  2. Step 2: Convert to fraction form
    363.32/545.02 = 119.80/x
  3. Step 3: Cross multiply
    363.32x = 545.02 × 119.80
  4. Step 4: Simplify right side
    363.32x = 65,293.40
  5. Step 5: Solve for x
    x = 65,293.40/363.32
  6. Step 6: Final answer
    x = 179.71

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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.