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Finding the Fourth Proportional to 169.32, 230.52 and 166.44

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Solution

The fourth proportional to 169.32, 230.52 and 166.44 is: 226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.32 : 230.52 = 166.44 : x
  2. Step 2: Convert to fraction form
    169.32/230.52 = 166.44/x
  3. Step 3: Cross multiply
    169.32x = 230.52 × 166.44
  4. Step 4: Simplify right side
    169.32x = 38,367.75
  5. Step 5: Solve for x
    x = 38,367.75/169.32
  6. Step 6: Final answer
    x = 226.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.