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Finding the Fourth Proportional to 195.72, 269.78 and 137.40

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Solution

The fourth proportional to 195.72, 269.78 and 137.40 is: 189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.72 : 269.78 = 137.40 : x
  2. Step 2: Convert to fraction form
    195.72/269.78 = 137.40/x
  3. Step 3: Cross multiply
    195.72x = 269.78 × 137.40
  4. Step 4: Simplify right side
    195.72x = 37,067.77
  5. Step 5: Solve for x
    x = 37,067.77/195.72
  6. Step 6: Final answer
    x = 189.39

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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.