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Finding the Fourth Proportional to 149.78, 206.85 and 122.24

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Solution

The fourth proportional to 149.78, 206.85 and 122.24 is: 168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 206.85 = 122.24 : x
  2. Step 2: Convert to fraction form
    149.78/206.85 = 122.24/x
  3. Step 3: Cross multiply
    149.78x = 206.85 × 122.24
  4. Step 4: Simplify right side
    149.78x = 25,286.32
  5. Step 5: Solve for x
    x = 25,286.32/149.78
  6. Step 6: Final answer
    x = 168.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.