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Finding the Fourth Proportional to 163.92, 225.17 and 132.70

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Solution

The fourth proportional to 163.92, 225.17 and 132.70 is: 182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 225.17 = 132.70 : x
  2. Step 2: Convert to fraction form
    163.92/225.17 = 132.70/x
  3. Step 3: Cross multiply
    163.92x = 225.17 × 132.70
  4. Step 4: Simplify right side
    163.92x = 29,880.06
  5. Step 5: Solve for x
    x = 29,880.06/163.92
  6. Step 6: Final answer
    x = 182.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.