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Finding the Fourth Proportional to 281.26, 387.73 and 198.11

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Solution

The fourth proportional to 281.26, 387.73 and 198.11 is: 273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.26 : 387.73 = 198.11 : x
  2. Step 2: Convert to fraction form
    281.26/387.73 = 198.11/x
  3. Step 3: Cross multiply
    281.26x = 387.73 × 198.11
  4. Step 4: Simplify right side
    281.26x = 76,811.25
  5. Step 5: Solve for x
    x = 76,811.25/281.26
  6. Step 6: Final answer
    x = 273.10

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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.