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Finding the Fourth Proportional to 363.84, 546.10 and 147.44

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Solution

The fourth proportional to 363.84, 546.10 and 147.44 is: 221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 546.10 = 147.44 : x
  2. Step 2: Convert to fraction form
    363.84/546.10 = 147.44/x
  3. Step 3: Cross multiply
    363.84x = 546.10 × 147.44
  4. Step 4: Simplify right side
    363.84x = 80,513.88
  5. Step 5: Solve for x
    x = 80,513.88/363.84
  6. Step 6: Final answer
    x = 221.29

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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.