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Finding the Fourth Proportional to 363.93, 545.94 and 132.84

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Solution

The fourth proportional to 363.93, 545.94 and 132.84 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.93 : 545.94 = 132.84 : x
  2. Step 2: Convert to fraction form
    363.93/545.94 = 132.84/x
  3. Step 3: Cross multiply
    363.93x = 545.94 × 132.84
  4. Step 4: Simplify right side
    363.93x = 72,522.67
  5. Step 5: Solve for x
    x = 72,522.67/363.93
  6. Step 6: Final answer
    x = 199.28

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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.