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Finding the Fourth Proportional to 363.74, 545.46 and 120.20

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Solution

The fourth proportional to 363.74, 545.46 and 120.20 is: 180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.74 : 545.46 = 120.20 : x
  2. Step 2: Convert to fraction form
    363.74/545.46 = 120.20/x
  3. Step 3: Cross multiply
    363.74x = 545.46 × 120.20
  4. Step 4: Simplify right side
    363.74x = 65,564.29
  5. Step 5: Solve for x
    x = 65,564.29/363.74
  6. Step 6: Final answer
    x = 180.25

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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.