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Finding the Fourth Proportional to 167.28, 232.14 and 163.44

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Solution

The fourth proportional to 167.28, 232.14 and 163.44 is: 226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.28 : 232.14 = 163.44 : x
  2. Step 2: Convert to fraction form
    167.28/232.14 = 163.44/x
  3. Step 3: Cross multiply
    167.28x = 232.14 × 163.44
  4. Step 4: Simplify right side
    167.28x = 37,940.96
  5. Step 5: Solve for x
    x = 37,940.96/167.28
  6. Step 6: Final answer
    x = 226.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.