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Finding the Fourth Proportional to 195.39, 269.76 and 125.46

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Solution

The fourth proportional to 195.39, 269.76 and 125.46 is: 173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.39 : 269.76 = 125.46 : x
  2. Step 2: Convert to fraction form
    195.39/269.76 = 125.46/x
  3. Step 3: Cross multiply
    195.39x = 269.76 × 125.46
  4. Step 4: Simplify right side
    195.39x = 33,844.09
  5. Step 5: Solve for x
    x = 33,844.09/195.39
  6. Step 6: Final answer
    x = 173.21

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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.