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Finding the Fourth Proportional to 281.88, 387.68 and 226.53

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Solution

The fourth proportional to 281.88, 387.68 and 226.53 is: 311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.88 : 387.68 = 226.53 : x
  2. Step 2: Convert to fraction form
    281.88/387.68 = 226.53/x
  3. Step 3: Cross multiply
    281.88x = 387.68 × 226.53
  4. Step 4: Simplify right side
    281.88x = 87,821.15
  5. Step 5: Solve for x
    x = 87,821.15/281.88
  6. Step 6: Final answer
    x = 311.56

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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.