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Finding the Fourth Proportional to 338.70, 467.42 and 249.96

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Solution

The fourth proportional to 338.70, 467.42 and 249.96 is: 344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.70 : 467.42 = 249.96 : x
  2. Step 2: Convert to fraction form
    338.70/467.42 = 249.96/x
  3. Step 3: Cross multiply
    338.70x = 467.42 × 249.96
  4. Step 4: Simplify right side
    338.70x = 116,836.30
  5. Step 5: Solve for x
    x = 116,836.30/338.70
  6. Step 6: Final answer
    x = 344.96

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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.