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Finding the Fourth Proportional to 180.46, 271.26 and 167.78

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Solution

The fourth proportional to 180.46, 271.26 and 167.78 is: 252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.46 : 271.26 = 167.78 : x
  2. Step 2: Convert to fraction form
    180.46/271.26 = 167.78/x
  3. Step 3: Cross multiply
    180.46x = 271.26 × 167.78
  4. Step 4: Simplify right side
    180.46x = 45,512.00
  5. Step 5: Solve for x
    x = 45,512.00/180.46
  6. Step 6: Final answer
    x = 252.20

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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.