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Finding the Fourth Proportional to 168.96, 231.48 and 167.28

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Solution

The fourth proportional to 168.96, 231.48 and 167.28 is: 229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.96 : 231.48 = 167.28 : x
  2. Step 2: Convert to fraction form
    168.96/231.48 = 167.28/x
  3. Step 3: Cross multiply
    168.96x = 231.48 × 167.28
  4. Step 4: Simplify right side
    168.96x = 38,721.97
  5. Step 5: Solve for x
    x = 38,721.97/168.96
  6. Step 6: Final answer
    x = 229.18

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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.