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Finding the Fourth Proportional to 195.30, 269.48 and 107.96

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Solution

The fourth proportional to 195.30, 269.48 and 107.96 is: 148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 269.48 = 107.96 : x
  2. Step 2: Convert to fraction form
    195.30/269.48 = 107.96/x
  3. Step 3: Cross multiply
    195.30x = 269.48 × 107.96
  4. Step 4: Simplify right side
    195.30x = 29,091.17
  5. Step 5: Solve for x
    x = 29,091.17/195.30
  6. Step 6: Final answer
    x = 148.96

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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.