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Finding the Fourth Proportional to 220.32, 330.78 and 129.09

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Solution

The fourth proportional to 220.32, 330.78 and 129.09 is: 193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 330.78 = 129.09 : x
  2. Step 2: Convert to fraction form
    220.32/330.78 = 129.09/x
  3. Step 3: Cross multiply
    220.32x = 330.78 × 129.09
  4. Step 4: Simplify right side
    220.32x = 42,702.11
  5. Step 5: Solve for x
    x = 42,702.11/220.32
  6. Step 6: Final answer
    x = 193.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.