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Finding the Fourth Proportional to 311.78, 430.17 and 180.71

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Solution

The fourth proportional to 311.78, 430.17 and 180.71 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.78 : 430.17 = 180.71 : x
  2. Step 2: Convert to fraction form
    311.78/430.17 = 180.71/x
  3. Step 3: Cross multiply
    311.78x = 430.17 × 180.71
  4. Step 4: Simplify right side
    311.78x = 77,733.87
  5. Step 5: Solve for x
    x = 77,733.87/311.78
  6. Step 6: Final answer
    x = 249.33

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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.