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Finding the Fourth Proportional to 219.37, 329.21 and 82.53

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Solution

The fourth proportional to 219.37, 329.21 and 82.53 is: 123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.37 : 329.21 = 82.53 : x
  2. Step 2: Convert to fraction form
    219.37/329.21 = 82.53/x
  3. Step 3: Cross multiply
    219.37x = 329.21 × 82.53
  4. Step 4: Simplify right side
    219.37x = 27,169.70
  5. Step 5: Solve for x
    x = 27,169.70/219.37
  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.