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Finding the Fourth Proportional to 168.48, 231.12 and 164.43

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Solution

The fourth proportional to 168.48, 231.12 and 164.43 is: 225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.48 : 231.12 = 164.43 : x
  2. Step 2: Convert to fraction form
    168.48/231.12 = 164.43/x
  3. Step 3: Cross multiply
    168.48x = 231.12 × 164.43
  4. Step 4: Simplify right side
    168.48x = 38,003.06
  5. Step 5: Solve for x
    x = 38,003.06/168.48
  6. Step 6: Final answer
    x = 225.56

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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.