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Finding the Fourth Proportional to 281.24, 387.99 and 226.06

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Solution

The fourth proportional to 281.24, 387.99 and 226.06 is: 311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.24 : 387.99 = 226.06 : x
  2. Step 2: Convert to fraction form
    281.24/387.99 = 226.06/x
  3. Step 3: Cross multiply
    281.24x = 387.99 × 226.06
  4. Step 4: Simplify right side
    281.24x = 87,708.05
  5. Step 5: Solve for x
    x = 87,708.05/281.24
  6. Step 6: Final answer
    x = 311.86

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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.