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Finding the Fourth Proportional to 220.38, 330.25 and 112.02

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Solution

The fourth proportional to 220.38, 330.25 and 112.02 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.38 : 330.25 = 112.02 : x
  2. Step 2: Convert to fraction form
    220.38/330.25 = 112.02/x
  3. Step 3: Cross multiply
    220.38x = 330.25 × 112.02
  4. Step 4: Simplify right side
    220.38x = 36,994.04
  5. Step 5: Solve for x
    x = 36,994.04/220.38
  6. Step 6: Final answer
    x = 167.86

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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.