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Finding the Fourth Proportional to 311.97, 430.49 and 180.95

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Solution

The fourth proportional to 311.97, 430.49 and 180.95 is: 249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.97 : 430.49 = 180.95 : x
  2. Step 2: Convert to fraction form
    311.97/430.49 = 180.95/x
  3. Step 3: Cross multiply
    311.97x = 430.49 × 180.95
  4. Step 4: Simplify right side
    311.97x = 77,897.17
  5. Step 5: Solve for x
    x = 77,897.17/311.97
  6. Step 6: Final answer
    x = 249.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.