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Finding the Fourth Proportional to 195.80, 269.88 and 137.48

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Solution

The fourth proportional to 195.80, 269.88 and 137.48 is: 189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.80 : 269.88 = 137.48 : x
  2. Step 2: Convert to fraction form
    195.80/269.88 = 137.48/x
  3. Step 3: Cross multiply
    195.80x = 269.88 × 137.48
  4. Step 4: Simplify right side
    195.80x = 37,103.10
  5. Step 5: Solve for x
    x = 37,103.10/195.80
  6. Step 6: Final answer
    x = 189.49

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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.