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Finding the Fourth Proportional to 149.85, 225.26 and 149.13

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Solution

The fourth proportional to 149.85, 225.26 and 149.13 is: 224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.85 : 225.26 = 149.13 : x
  2. Step 2: Convert to fraction form
    149.85/225.26 = 149.13/x
  3. Step 3: Cross multiply
    149.85x = 225.26 × 149.13
  4. Step 4: Simplify right side
    149.85x = 33,593.02
  5. Step 5: Solve for x
    x = 33,593.02/149.85
  6. Step 6: Final answer
    x = 224.18

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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.