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Finding the Fourth Proportional to 219.55, 329.38 and 82.60

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Solution

The fourth proportional to 219.55, 329.38 and 82.60 is: 123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.55 : 329.38 = 82.60 : x
  2. Step 2: Convert to fraction form
    219.55/329.38 = 82.60/x
  3. Step 3: Cross multiply
    219.55x = 329.38 × 82.60
  4. Step 4: Simplify right side
    219.55x = 27,205.76
  5. Step 5: Solve for x
    x = 27,205.76/219.55
  6. Step 6: Final answer
    x = 123.92

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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.