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Finding the Fourth Proportional to 149.11, 224.79 and 139.20

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Solution

The fourth proportional to 149.11, 224.79 and 139.20 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.11 : 224.79 = 139.20 : x
  2. Step 2: Convert to fraction form
    149.11/224.79 = 139.20/x
  3. Step 3: Cross multiply
    149.11x = 224.79 × 139.20
  4. Step 4: Simplify right side
    149.11x = 31,290.98
  5. Step 5: Solve for x
    x = 31,290.98/149.11
  6. Step 6: Final answer
    x = 209.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.