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Finding the Fourth Proportional to 311.85, 430.34 and 180.87

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Solution

The fourth proportional to 311.85, 430.34 and 180.87 is: 249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.85 : 430.34 = 180.87 : x
  2. Step 2: Convert to fraction form
    311.85/430.34 = 180.87/x
  3. Step 3: Cross multiply
    311.85x = 430.34 × 180.87
  4. Step 4: Simplify right side
    311.85x = 77,833.44
  5. Step 5: Solve for x
    x = 77,833.44/311.85
  6. Step 6: Final answer
    x = 249.59

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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.