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Finding the Fourth Proportional to 180.46, 270.60 and 112.12

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Solution

The fourth proportional to 180.46, 270.60 and 112.12 is: 168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.46 : 270.60 = 112.12 : x
  2. Step 2: Convert to fraction form
    180.46/270.60 = 112.12/x
  3. Step 3: Cross multiply
    180.46x = 270.60 × 112.12
  4. Step 4: Simplify right side
    180.46x = 30,339.67
  5. Step 5: Solve for x
    x = 30,339.67/180.46
  6. Step 6: Final answer
    x = 168.12

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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.