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Finding the Fourth Proportional to 169.26, 254.39 and 140.56

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Solution

The fourth proportional to 169.26, 254.39 and 140.56 is: 211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.26 : 254.39 = 140.56 : x
  2. Step 2: Convert to fraction form
    169.26/254.39 = 140.56/x
  3. Step 3: Cross multiply
    169.26x = 254.39 × 140.56
  4. Step 4: Simplify right side
    169.26x = 35,755.72
  5. Step 5: Solve for x
    x = 35,755.72/169.26
  6. Step 6: Final answer
    x = 211.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.