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Finding the Fourth Proportional to 168.42, 233.67 and 161.22

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Solution

The fourth proportional to 168.42, 233.67 and 161.22 is: 223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.42 : 233.67 = 161.22 : x
  2. Step 2: Convert to fraction form
    168.42/233.67 = 161.22/x
  3. Step 3: Cross multiply
    168.42x = 233.67 × 161.22
  4. Step 4: Simplify right side
    168.42x = 37,672.28
  5. Step 5: Solve for x
    x = 37,672.28/168.42
  6. Step 6: Final answer
    x = 223.68

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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.