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Finding the Fourth Proportional to 203, 281.68 and 194.88

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Solution

The fourth proportional to 203, 281.68 and 194.88 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203 : 281.68 = 194.88 : x
  2. Step 2: Convert to fraction form
    203/281.68 = 194.88/x
  3. Step 3: Cross multiply
    203x = 281.68 × 194.88
  4. Step 4: Simplify right side
    203x = 54,893.80
  5. Step 5: Solve for x
    x = 54,893.80/203
  6. Step 6: Final answer
    x = 270.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.