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Finding the Fourth Proportional to 281.17, 387.53 and 202.27

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Solution

The fourth proportional to 281.17, 387.53 and 202.27 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.17 : 387.53 = 202.27 : x
  2. Step 2: Convert to fraction form
    281.17/387.53 = 202.27/x
  3. Step 3: Cross multiply
    281.17x = 387.53 × 202.27
  4. Step 4: Simplify right side
    281.17x = 78,385.69
  5. Step 5: Solve for x
    x = 78,385.69/281.17
  6. Step 6: Final answer
    x = 278.78

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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.