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Finding the Fourth Proportional to 249.74, 374.15 and 213.29

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Solution

The fourth proportional to 249.74, 374.15 and 213.29 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.74 : 374.15 = 213.29 : x
  2. Step 2: Convert to fraction form
    249.74/374.15 = 213.29/x
  3. Step 3: Cross multiply
    249.74x = 374.15 × 213.29
  4. Step 4: Simplify right side
    249.74x = 79,799.52
  5. Step 5: Solve for x
    x = 79,799.52/249.74
  6. Step 6: Final answer
    x = 319.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.