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Finding the Fourth Proportional to 163.29, 225.54 and 132.24

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Solution

The fourth proportional to 163.29, 225.54 and 132.24 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.29 : 225.54 = 132.24 : x
  2. Step 2: Convert to fraction form
    163.29/225.54 = 132.24/x
  3. Step 3: Cross multiply
    163.29x = 225.54 × 132.24
  4. Step 4: Simplify right side
    163.29x = 29,825.41
  5. Step 5: Solve for x
    x = 29,825.41/163.29
  6. Step 6: Final answer
    x = 182.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.