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Finding the Fourth Proportional to 219.54, 329.18 and 82.42

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Solution

The fourth proportional to 219.54, 329.18 and 82.42 is: 123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.54 : 329.18 = 82.42 : x
  2. Step 2: Convert to fraction form
    219.54/329.18 = 82.42/x
  3. Step 3: Cross multiply
    219.54x = 329.18 × 82.42
  4. Step 4: Simplify right side
    219.54x = 27,131.02
  5. Step 5: Solve for x
    x = 27,131.02/219.54
  6. Step 6: Final answer
    x = 123.58

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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.