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Finding the Fourth Proportional to 249.67, 342.01 and 241.84

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Solution

The fourth proportional to 249.67, 342.01 and 241.84 is: 331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.67 : 342.01 = 241.84 : x
  2. Step 2: Convert to fraction form
    249.67/342.01 = 241.84/x
  3. Step 3: Cross multiply
    249.67x = 342.01 × 241.84
  4. Step 4: Simplify right side
    249.67x = 82,711.70
  5. Step 5: Solve for x
    x = 82,711.70/249.67
  6. Step 6: Final answer
    x = 331.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.