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Finding the Fourth Proportional to 281.06, 387.32 and 227.79

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Solution

The fourth proportional to 281.06, 387.32 and 227.79 is: 313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.06 : 387.32 = 227.79 : x
  2. Step 2: Convert to fraction form
    281.06/387.32 = 227.79/x
  3. Step 3: Cross multiply
    281.06x = 387.32 × 227.79
  4. Step 4: Simplify right side
    281.06x = 88,226.48
  5. Step 5: Solve for x
    x = 88,226.48/281.06
  6. Step 6: Final answer
    x = 313.91

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Why These Related Problems?

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