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Finding the Fourth Proportional to 195.31, 269.52 and 106.79

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Solution

The fourth proportional to 195.31, 269.52 and 106.79 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.31 : 269.52 = 106.79 : x
  2. Step 2: Convert to fraction form
    195.31/269.52 = 106.79/x
  3. Step 3: Cross multiply
    195.31x = 269.52 × 106.79
  4. Step 4: Simplify right side
    195.31x = 28,780.43
  5. Step 5: Solve for x
    x = 28,780.43/195.31
  6. Step 6: Final answer
    x = 147.36

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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.