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Finding the Fourth Proportional to 311.99, 430.52 and 180.97

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Solution

The fourth proportional to 311.99, 430.52 and 180.97 is: 249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.99 : 430.52 = 180.97 : x
  2. Step 2: Convert to fraction form
    311.99/430.52 = 180.97/x
  3. Step 3: Cross multiply
    311.99x = 430.52 × 180.97
  4. Step 4: Simplify right side
    311.99x = 77,911.20
  5. Step 5: Solve for x
    x = 77,911.20/311.99
  6. Step 6: Final answer
    x = 249.73

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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.