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Finding the Fourth Proportional to 308.89, 462.92 and 146.42

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Solution

The fourth proportional to 308.89, 462.92 and 146.42 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.89 : 462.92 = 146.42 : x
  2. Step 2: Convert to fraction form
    308.89/462.92 = 146.42/x
  3. Step 3: Cross multiply
    308.89x = 462.92 × 146.42
  4. Step 4: Simplify right side
    308.89x = 67,778.80
  5. Step 5: Solve for x
    x = 67,778.80/308.89
  6. Step 6: Final answer
    x = 219.43

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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.