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Finding the Fourth Proportional to 363.24, 545.02 and 146.76

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Solution

The fourth proportional to 363.24, 545.02 and 146.76 is: 220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.24 : 545.02 = 146.76 : x
  2. Step 2: Convert to fraction form
    363.24/545.02 = 146.76/x
  3. Step 3: Cross multiply
    363.24x = 545.02 × 146.76
  4. Step 4: Simplify right side
    363.24x = 79,987.14
  5. Step 5: Solve for x
    x = 79,987.14/363.24
  6. Step 6: Final answer
    x = 220.20

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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.