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Finding the Fourth Proportional to 180.29, 270.25 and 129.26

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Solution

The fourth proportional to 180.29, 270.25 and 129.26 is: 193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.29 : 270.25 = 129.26 : x
  2. Step 2: Convert to fraction form
    180.29/270.25 = 129.26/x
  3. Step 3: Cross multiply
    180.29x = 270.25 × 129.26
  4. Step 4: Simplify right side
    180.29x = 34,930.52
  5. Step 5: Solve for x
    x = 34,930.52/180.29
  6. Step 6: Final answer
    x = 193.75

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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.