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Finding the Fourth Proportional to 195, 269.09 and 107.67

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Solution

The fourth proportional to 195, 269.09 and 107.67 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 269.09 = 107.67 : x
  2. Step 2: Convert to fraction form
    195/269.09 = 107.67/x
  3. Step 3: Cross multiply
    195x = 269.09 × 107.67
  4. Step 4: Simplify right side
    195x = 28,972.38
  5. Step 5: Solve for x
    x = 28,972.38/195
  6. Step 6: Final answer
    x = 148.58

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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.