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Finding the Fourth Proportional to 240.97, 360.87 and 149.59

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Solution

The fourth proportional to 240.97, 360.87 and 149.59 is: 224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.97 : 360.87 = 149.59 : x
  2. Step 2: Convert to fraction form
    240.97/360.87 = 149.59/x
  3. Step 3: Cross multiply
    240.97x = 360.87 × 149.59
  4. Step 4: Simplify right side
    240.97x = 53,982.54
  5. Step 5: Solve for x
    x = 53,982.54/240.97
  6. Step 6: Final answer
    x = 224.02

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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.