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Finding the Fourth Proportional to 219.49, 329.23 and 82.57

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Solution

The fourth proportional to 219.49, 329.23 and 82.57 is: 123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.49 : 329.23 = 82.57 : x
  2. Step 2: Convert to fraction form
    219.49/329.23 = 82.57/x
  3. Step 3: Cross multiply
    219.49x = 329.23 × 82.57
  4. Step 4: Simplify right side
    219.49x = 27,184.52
  5. Step 5: Solve for x
    x = 27,184.52/219.49
  6. Step 6: Final answer
    x = 123.85

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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.