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Finding the Fourth Proportional to 281.31, 422.26 and 208.27

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Solution

The fourth proportional to 281.31, 422.26 and 208.27 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.31 : 422.26 = 208.27 : x
  2. Step 2: Convert to fraction form
    281.31/422.26 = 208.27/x
  3. Step 3: Cross multiply
    281.31x = 422.26 × 208.27
  4. Step 4: Simplify right side
    281.31x = 87,944.09
  5. Step 5: Solve for x
    x = 87,944.09/281.31
  6. Step 6: Final answer
    x = 312.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.