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Finding the Fourth Proportional to 257.39, 355.37 and 198.27

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Solution

The fourth proportional to 257.39, 355.37 and 198.27 is: 273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.39 : 355.37 = 198.27 : x
  2. Step 2: Convert to fraction form
    257.39/355.37 = 198.27/x
  3. Step 3: Cross multiply
    257.39x = 355.37 × 198.27
  4. Step 4: Simplify right side
    257.39x = 70,456.44
  5. Step 5: Solve for x
    x = 70,456.44/257.39
  6. Step 6: Final answer
    x = 273.74

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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.