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Finding the Fourth Proportional to 168.67, 232.15 and 162.46

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Solution

The fourth proportional to 168.67, 232.15 and 162.46 is: 223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 232.15 = 162.46 : x
  2. Step 2: Convert to fraction form
    168.67/232.15 = 162.46/x
  3. Step 3: Cross multiply
    168.67x = 232.15 × 162.46
  4. Step 4: Simplify right side
    168.67x = 37,713.12
  5. Step 5: Solve for x
    x = 37,713.12/168.67
  6. Step 6: Final answer
    x = 223.60

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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.