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Finding the Fourth Proportional to 311.77, 429.96 and 180.73

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Solution

The fourth proportional to 311.77, 429.96 and 180.73 is: 249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.77 : 429.96 = 180.73 : x
  2. Step 2: Convert to fraction form
    311.77/429.96 = 180.73/x
  3. Step 3: Cross multiply
    311.77x = 429.96 × 180.73
  4. Step 4: Simplify right side
    311.77x = 77,706.67
  5. Step 5: Solve for x
    x = 77,706.67/311.77
  6. Step 6: Final answer
    x = 249.24

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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.