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Finding the Fourth Proportional to 180.28, 270.42 and 169.39

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Solution

The fourth proportional to 180.28, 270.42 and 169.39 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 270.42 = 169.39 : x
  2. Step 2: Convert to fraction form
    180.28/270.42 = 169.39/x
  3. Step 3: Cross multiply
    180.28x = 270.42 × 169.39
  4. Step 4: Simplify right side
    180.28x = 45,806.44
  5. Step 5: Solve for x
    x = 45,806.44/180.28
  6. Step 6: Final answer
    x = 254.09

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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.