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Finding the Fourth Proportional to 219.80, 329.78 and 97.97

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Solution

The fourth proportional to 219.80, 329.78 and 97.97 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 329.78 = 97.97 : x
  2. Step 2: Convert to fraction form
    219.80/329.78 = 97.97/x
  3. Step 3: Cross multiply
    219.80x = 329.78 × 97.97
  4. Step 4: Simplify right side
    219.80x = 32,308.55
  5. Step 5: Solve for x
    x = 32,308.55/219.80
  6. Step 6: Final answer
    x = 146.99

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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.