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Finding the Fourth Proportional to 281.11, 387.96 and 156.82

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Solution

The fourth proportional to 281.11, 387.96 and 156.82 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.11 : 387.96 = 156.82 : x
  2. Step 2: Convert to fraction form
    281.11/387.96 = 156.82/x
  3. Step 3: Cross multiply
    281.11x = 387.96 × 156.82
  4. Step 4: Simplify right side
    281.11x = 60,839.89
  5. Step 5: Solve for x
    x = 60,839.89/281.11
  6. Step 6: Final answer
    x = 216.43

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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.