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Finding the Fourth Proportional to 180.13, 270.28 and 134.57

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Solution

The fourth proportional to 180.13, 270.28 and 134.57 is: 201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 270.28 = 134.57 : x
  2. Step 2: Convert to fraction form
    180.13/270.28 = 134.57/x
  3. Step 3: Cross multiply
    180.13x = 270.28 × 134.57
  4. Step 4: Simplify right side
    180.13x = 36,371.58
  5. Step 5: Solve for x
    x = 36,371.58/180.13
  6. Step 6: Final answer
    x = 201.92

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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.