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Finding the Fourth Proportional to 149.75, 224.62 and 122.71

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Solution

The fourth proportional to 149.75, 224.62 and 122.71 is: 184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 224.62 = 122.71 : x
  2. Step 2: Convert to fraction form
    149.75/224.62 = 122.71/x
  3. Step 3: Cross multiply
    149.75x = 224.62 × 122.71
  4. Step 4: Simplify right side
    149.75x = 27,563.12
  5. Step 5: Solve for x
    x = 27,563.12/149.75
  6. Step 6: Final answer
    x = 184.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.