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Finding the Fourth Proportional to 195.02, 269.12 and 107.69

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Solution

The fourth proportional to 195.02, 269.12 and 107.69 is: 148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.02 : 269.12 = 107.69 : x
  2. Step 2: Convert to fraction form
    195.02/269.12 = 107.69/x
  3. Step 3: Cross multiply
    195.02x = 269.12 × 107.69
  4. Step 4: Simplify right side
    195.02x = 28,981.53
  5. Step 5: Solve for x
    x = 28,981.53/195.02
  6. Step 6: Final answer
    x = 148.61

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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.