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Finding the Fourth Proportional to 180.40, 270.20 and 132.16

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Solution

The fourth proportional to 180.40, 270.20 and 132.16 is: 197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 270.20 = 132.16 : x
  2. Step 2: Convert to fraction form
    180.40/270.20 = 132.16/x
  3. Step 3: Cross multiply
    180.40x = 270.20 × 132.16
  4. Step 4: Simplify right side
    180.40x = 35,709.63
  5. Step 5: Solve for x
    x = 35,709.63/180.40
  6. Step 6: Final answer
    x = 197.95

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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.