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Finding the Fourth Proportional to 195.10, 269.22 and 107.78

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Solution

The fourth proportional to 195.10, 269.22 and 107.78 is: 148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.10 : 269.22 = 107.78 : x
  2. Step 2: Convert to fraction form
    195.10/269.22 = 107.78/x
  3. Step 3: Cross multiply
    195.10x = 269.22 × 107.78
  4. Step 4: Simplify right side
    195.10x = 29,016.53
  5. Step 5: Solve for x
    x = 29,016.53/195.10
  6. Step 6: Final answer
    x = 148.73

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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.