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Finding the Fourth Proportional to 257.36, 355.20 and 198.44

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Solution

The fourth proportional to 257.36, 355.20 and 198.44 is: 273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.36 : 355.20 = 198.44 : x
  2. Step 2: Convert to fraction form
    257.36/355.20 = 198.44/x
  3. Step 3: Cross multiply
    257.36x = 355.20 × 198.44
  4. Step 4: Simplify right side
    257.36x = 70,484.11
  5. Step 5: Solve for x
    x = 70,484.11/257.36
  6. Step 6: Final answer
    x = 273.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.