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Finding the Fourth Proportional to 149.97, 224.75 and 109.20

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Solution

The fourth proportional to 149.97, 224.75 and 109.20 is: 163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.97 : 224.75 = 109.20 : x
  2. Step 2: Convert to fraction form
    149.97/224.75 = 109.20/x
  3. Step 3: Cross multiply
    149.97x = 224.75 × 109.20
  4. Step 4: Simplify right side
    149.97x = 24,541.03
  5. Step 5: Solve for x
    x = 24,541.03/149.97
  6. Step 6: Final answer
    x = 163.65

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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.