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Finding the Fourth Proportional to 180.56, 270.38 and 129.53

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Solution

The fourth proportional to 180.56, 270.38 and 129.53 is: 193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 270.38 = 129.53 : x
  2. Step 2: Convert to fraction form
    180.56/270.38 = 129.53/x
  3. Step 3: Cross multiply
    180.56x = 270.38 × 129.53
  4. Step 4: Simplify right side
    180.56x = 35,022.32
  5. Step 5: Solve for x
    x = 35,022.32/180.56
  6. Step 6: Final answer
    x = 193.97

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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.