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Finding the Fourth Proportional to 149.24, 224.88 and 122.78

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Solution

The fourth proportional to 149.24, 224.88 and 122.78 is: 185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.24 : 224.88 = 122.78 : x
  2. Step 2: Convert to fraction form
    149.24/224.88 = 122.78/x
  3. Step 3: Cross multiply
    149.24x = 224.88 × 122.78
  4. Step 4: Simplify right side
    149.24x = 27,610.77
  5. Step 5: Solve for x
    x = 27,610.77/149.24
  6. Step 6: Final answer
    x = 185.01

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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.