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Finding the Fourth Proportional to 219.39, 329.14 and 82.44

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Solution

The fourth proportional to 219.39, 329.14 and 82.44 is: 123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.39 : 329.14 = 82.44 : x
  2. Step 2: Convert to fraction form
    219.39/329.14 = 82.44/x
  3. Step 3: Cross multiply
    219.39x = 329.14 × 82.44
  4. Step 4: Simplify right side
    219.39x = 27,133.89
  5. Step 5: Solve for x
    x = 27,133.89/219.39
  6. Step 6: Final answer
    x = 123.68

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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.