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Finding the Fourth Proportional to 311.92, 430.42 and 180.95

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Solution

The fourth proportional to 311.92, 430.42 and 180.95 is: 249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.92 : 430.42 = 180.95 : x
  2. Step 2: Convert to fraction form
    311.92/430.42 = 180.95/x
  3. Step 3: Cross multiply
    311.92x = 430.42 × 180.95
  4. Step 4: Simplify right side
    311.92x = 77,884.50
  5. Step 5: Solve for x
    x = 77,884.50/311.92
  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.