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Finding the Fourth Proportional to 163.92, 226.44 and 114.78

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Solution

The fourth proportional to 163.92, 226.44 and 114.78 is: 158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 226.44 = 114.78 : x
  2. Step 2: Convert to fraction form
    163.92/226.44 = 114.78/x
  3. Step 3: Cross multiply
    163.92x = 226.44 × 114.78
  4. Step 4: Simplify right side
    163.92x = 25,990.78
  5. Step 5: Solve for x
    x = 25,990.78/163.92
  6. Step 6: Final answer
    x = 158.56

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Why These Related Problems?

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