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Finding the Fourth Proportional to 180.29, 270.24 and 139.59

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Solution

The fourth proportional to 180.29, 270.24 and 139.59 is: 209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.29 : 270.24 = 139.59 : x
  2. Step 2: Convert to fraction form
    180.29/270.24 = 139.59/x
  3. Step 3: Cross multiply
    180.29x = 270.24 × 139.59
  4. Step 4: Simplify right side
    180.29x = 37,722.28
  5. Step 5: Solve for x
    x = 37,722.28/180.29
  6. Step 6: Final answer
    x = 209.23

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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.