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Finding the Fourth Proportional to 281.63, 387.34 and 226.28

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Solution

The fourth proportional to 281.63, 387.34 and 226.28 is: 311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.63 : 387.34 = 226.28 : x
  2. Step 2: Convert to fraction form
    281.63/387.34 = 226.28/x
  3. Step 3: Cross multiply
    281.63x = 387.34 × 226.28
  4. Step 4: Simplify right side
    281.63x = 87,644.79
  5. Step 5: Solve for x
    x = 87,644.79/281.63
  6. Step 6: Final answer
    x = 311.21

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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.