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Finding the Fourth Proportional to 312.11, 467.21 and 250.73

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Solution

The fourth proportional to 312.11, 467.21 and 250.73 is: 375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.11 : 467.21 = 250.73 : x
  2. Step 2: Convert to fraction form
    312.11/467.21 = 250.73/x
  3. Step 3: Cross multiply
    312.11x = 467.21 × 250.73
  4. Step 4: Simplify right side
    312.11x = 117,141.85
  5. Step 5: Solve for x
    x = 117,141.85/312.11
  6. Step 6: Final answer
    x = 375.33

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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.