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Finding the Fourth Proportional to 169.08, 231.83 and 167.46

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Solution

The fourth proportional to 169.08, 231.83 and 167.46 is: 229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.08 : 231.83 = 167.46 : x
  2. Step 2: Convert to fraction form
    169.08/231.83 = 167.46/x
  3. Step 3: Cross multiply
    169.08x = 231.83 × 167.46
  4. Step 4: Simplify right side
    169.08x = 38,821.41
  5. Step 5: Solve for x
    x = 38,821.41/169.08
  6. Step 6: Final answer
    x = 229.60

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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.