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Finding the Fourth Proportional to 363.88, 545.82 and 120.42

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Solution

The fourth proportional to 363.88, 545.82 and 120.42 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.88 : 545.82 = 120.42 : x
  2. Step 2: Convert to fraction form
    363.88/545.82 = 120.42/x
  3. Step 3: Cross multiply
    363.88x = 545.82 × 120.42
  4. Step 4: Simplify right side
    363.88x = 65,727.64
  5. Step 5: Solve for x
    x = 65,727.64/363.88
  6. Step 6: Final answer
    x = 180.63

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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.