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Finding the Fourth Proportional to 168.22, 230.47 and 161.74

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Solution

The fourth proportional to 168.22, 230.47 and 161.74 is: 221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.22 : 230.47 = 161.74 : x
  2. Step 2: Convert to fraction form
    168.22/230.47 = 161.74/x
  3. Step 3: Cross multiply
    168.22x = 230.47 × 161.74
  4. Step 4: Simplify right side
    168.22x = 37,276.22
  5. Step 5: Solve for x
    x = 37,276.22/168.22
  6. Step 6: Final answer
    x = 221.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.