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Finding the Fourth Proportional to 363.43, 544.78 and 146.85

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Solution

The fourth proportional to 363.43, 544.78 and 146.85 is: 220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.43 : 544.78 = 146.85 : x
  2. Step 2: Convert to fraction form
    363.43/544.78 = 146.85/x
  3. Step 3: Cross multiply
    363.43x = 544.78 × 146.85
  4. Step 4: Simplify right side
    363.43x = 80,000.94
  5. Step 5: Solve for x
    x = 80,000.94/363.43
  6. Step 6: Final answer
    x = 220.13

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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.