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Finding the Fourth Proportional to 149.40, 224.19 and 77.25

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Solution

The fourth proportional to 149.40, 224.19 and 77.25 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 224.19 = 77.25 : x
  2. Step 2: Convert to fraction form
    149.40/224.19 = 77.25/x
  3. Step 3: Cross multiply
    149.40x = 224.19 × 77.25
  4. Step 4: Simplify right side
    149.40x = 17,318.68
  5. Step 5: Solve for x
    x = 17,318.68/149.40
  6. Step 6: Final answer
    x = 115.92

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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.