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Finding the Fourth Proportional to 180.96, 270.17 and 163.95

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Solution

The fourth proportional to 180.96, 270.17 and 163.95 is: 244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 270.17 = 163.95 : x
  2. Step 2: Convert to fraction form
    180.96/270.17 = 163.95/x
  3. Step 3: Cross multiply
    180.96x = 270.17 × 163.95
  4. Step 4: Simplify right side
    180.96x = 44,293.55
  5. Step 5: Solve for x
    x = 44,293.55/180.96
  6. Step 6: Final answer
    x = 244.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.