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Finding the Fourth Proportional to 168.12, 233.16 and 163.92

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Solution

The fourth proportional to 168.12, 233.16 and 163.92 is: 227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.12 : 233.16 = 163.92 : x
  2. Step 2: Convert to fraction form
    168.12/233.16 = 163.92/x
  3. Step 3: Cross multiply
    168.12x = 233.16 × 163.92
  4. Step 4: Simplify right side
    168.12x = 38,219.59
  5. Step 5: Solve for x
    x = 38,219.59/168.12
  6. Step 6: Final answer
    x = 227.34

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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.