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Finding the Fourth Proportional to 363.81, 545.76 and 120.27

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Solution

The fourth proportional to 363.81, 545.76 and 120.27 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.81 : 545.76 = 120.27 : x
  2. Step 2: Convert to fraction form
    363.81/545.76 = 120.27/x
  3. Step 3: Cross multiply
    363.81x = 545.76 × 120.27
  4. Step 4: Simplify right side
    363.81x = 65,638.56
  5. Step 5: Solve for x
    x = 65,638.56/363.81
  6. Step 6: Final answer
    x = 180.42

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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.