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Finding the Fourth Proportional to 240.88, 360.70 and 149.44

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Solution

The fourth proportional to 240.88, 360.70 and 149.44 is: 223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.88 : 360.70 = 149.44 : x
  2. Step 2: Convert to fraction form
    240.88/360.70 = 149.44/x
  3. Step 3: Cross multiply
    240.88x = 360.70 × 149.44
  4. Step 4: Simplify right side
    240.88x = 53,903.01
  5. Step 5: Solve for x
    x = 53,903.01/240.88
  6. Step 6: Final answer
    x = 223.78

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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.