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Finding the Fourth Proportional to 195.62, 269.73 and 140.54

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Solution

The fourth proportional to 195.62, 269.73 and 140.54 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 269.73 = 140.54 : x
  2. Step 2: Convert to fraction form
    195.62/269.73 = 140.54/x
  3. Step 3: Cross multiply
    195.62x = 269.73 × 140.54
  4. Step 4: Simplify right side
    195.62x = 37,906.51
  5. Step 5: Solve for x
    x = 37,906.51/195.62
  6. Step 6: Final answer
    x = 193.78

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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.