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Finding the Fourth Proportional to 219.47, 329.19 and 147.78

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Solution

The fourth proportional to 219.47, 329.19 and 147.78 is: 221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.47 : 329.19 = 147.78 : x
  2. Step 2: Convert to fraction form
    219.47/329.19 = 147.78/x
  3. Step 3: Cross multiply
    219.47x = 329.19 × 147.78
  4. Step 4: Simplify right side
    219.47x = 48,647.70
  5. Step 5: Solve for x
    x = 48,647.70/219.47
  6. Step 6: Final answer
    x = 221.66

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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.