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Finding the Fourth Proportional to 219.57, 329.12 and 80.70

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Solution

The fourth proportional to 219.57, 329.12 and 80.70 is: 120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.57 : 329.12 = 80.70 : x
  2. Step 2: Convert to fraction form
    219.57/329.12 = 80.70/x
  3. Step 3: Cross multiply
    219.57x = 329.12 × 80.70
  4. Step 4: Simplify right side
    219.57x = 26,559.58
  5. Step 5: Solve for x
    x = 26,559.58/219.57
  6. Step 6: Final answer
    x = 120.96

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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.