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Finding the Fourth Proportional to 195.39, 269.06 and 167.72

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Solution

The fourth proportional to 195.39, 269.06 and 167.72 is: 230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.39 : 269.06 = 167.72 : x
  2. Step 2: Convert to fraction form
    195.39/269.06 = 167.72/x
  3. Step 3: Cross multiply
    195.39x = 269.06 × 167.72
  4. Step 4: Simplify right side
    195.39x = 45,124.56
  5. Step 5: Solve for x
    x = 45,124.56/195.39
  6. Step 6: Final answer
    x = 230.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.