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Finding the Fourth Proportional to 219.46, 329.32 and 97.71

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Solution

The fourth proportional to 219.46, 329.32 and 97.71 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.46 : 329.32 = 97.71 : x
  2. Step 2: Convert to fraction form
    219.46/329.32 = 97.71/x
  3. Step 3: Cross multiply
    219.46x = 329.32 × 97.71
  4. Step 4: Simplify right side
    219.46x = 32,177.86
  5. Step 5: Solve for x
    x = 32,177.86/219.46
  6. Step 6: Final answer
    x = 146.63

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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.