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Finding the Fourth Proportional to 195.29, 269.49 and 107.96

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Solution

The fourth proportional to 195.29, 269.49 and 107.96 is: 148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.29 : 269.49 = 107.96 : x
  2. Step 2: Convert to fraction form
    195.29/269.49 = 107.96/x
  3. Step 3: Cross multiply
    195.29x = 269.49 × 107.96
  4. Step 4: Simplify right side
    195.29x = 29,094.14
  5. Step 5: Solve for x
    x = 29,094.14/195.29
  6. Step 6: Final answer
    x = 148.98

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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.