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Finding the Fourth Proportional to 149.97, 224.73 and 111.27

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Solution

The fourth proportional to 149.97, 224.73 and 111.27 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.97 : 224.73 = 111.27 : x
  2. Step 2: Convert to fraction form
    149.97/224.73 = 111.27/x
  3. Step 3: Cross multiply
    149.97x = 224.73 × 111.27
  4. Step 4: Simplify right side
    149.97x = 25,006.55
  5. Step 5: Solve for x
    x = 25,006.55/149.97
  6. Step 6: Final answer
    x = 166.74

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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.