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Finding the Fourth Proportional to 311.97, 468.17 and 189.86

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Solution

The fourth proportional to 311.97, 468.17 and 189.86 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.97 : 468.17 = 189.86 : x
  2. Step 2: Convert to fraction form
    311.97/468.17 = 189.86/x
  3. Step 3: Cross multiply
    311.97x = 468.17 × 189.86
  4. Step 4: Simplify right side
    311.97x = 88,883.47
  5. Step 5: Solve for x
    x = 88,883.47/311.97
  6. Step 6: Final answer
    x = 284.91

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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.