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Finding the Fourth Proportional to 311.78, 430.31 and 180.83

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Solution

The fourth proportional to 311.78, 430.31 and 180.83 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.78 : 430.31 = 180.83 : x
  2. Step 2: Convert to fraction form
    311.78/430.31 = 180.83/x
  3. Step 3: Cross multiply
    311.78x = 430.31 × 180.83
  4. Step 4: Simplify right side
    311.78x = 77,814.49
  5. Step 5: Solve for x
    x = 77,814.49/311.78
  6. Step 6: Final answer
    x = 249.58

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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.