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Finding the Fourth Proportional to 219.89, 329.84 and 96.47

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Solution

The fourth proportional to 219.89, 329.84 and 96.47 is: 144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.89 : 329.84 = 96.47 : x
  2. Step 2: Convert to fraction form
    219.89/329.84 = 96.47/x
  3. Step 3: Cross multiply
    219.89x = 329.84 × 96.47
  4. Step 4: Simplify right side
    219.89x = 31,819.18
  5. Step 5: Solve for x
    x = 31,819.18/219.89
  6. Step 6: Final answer
    x = 144.71

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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.