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Finding the Fourth Proportional to 149.45, 224.24 and 112.89

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Solution

The fourth proportional to 149.45, 224.24 and 112.89 is: 169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.45 : 224.24 = 112.89 : x
  2. Step 2: Convert to fraction form
    149.45/224.24 = 112.89/x
  3. Step 3: Cross multiply
    149.45x = 224.24 × 112.89
  4. Step 4: Simplify right side
    149.45x = 25,314.73
  5. Step 5: Solve for x
    x = 25,314.73/149.45
  6. Step 6: Final answer
    x = 169.39

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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.