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Finding the Fourth Proportional to 311.83, 467.75 and 250.66

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Solution

The fourth proportional to 311.83, 467.75 and 250.66 is: 375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.83 : 467.75 = 250.66 : x
  2. Step 2: Convert to fraction form
    311.83/467.75 = 250.66/x
  3. Step 3: Cross multiply
    311.83x = 467.75 × 250.66
  4. Step 4: Simplify right side
    311.83x = 117,246.22
  5. Step 5: Solve for x
    x = 117,246.22/311.83
  6. Step 6: Final answer
    x = 375.99

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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.