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Finding the Fourth Proportional to 250.39, 374 and 213.94

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Solution

The fourth proportional to 250.39, 374 and 213.94 is: 319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.39 : 374 = 213.94 : x
  2. Step 2: Convert to fraction form
    250.39/374 = 213.94/x
  3. Step 3: Cross multiply
    250.39x = 374 × 213.94
  4. Step 4: Simplify right side
    250.39x = 80,013.56
  5. Step 5: Solve for x
    x = 80,013.56/250.39
  6. Step 6: Final answer
    x = 319.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.