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Finding the Fourth Proportional to 311.74, 430.23 and 180.79

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Solution

The fourth proportional to 311.74, 430.23 and 180.79 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.74 : 430.23 = 180.79 : x
  2. Step 2: Convert to fraction form
    311.74/430.23 = 180.79/x
  3. Step 3: Cross multiply
    311.74x = 430.23 × 180.79
  4. Step 4: Simplify right side
    311.74x = 77,781.28
  5. Step 5: Solve for x
    x = 77,781.28/311.74
  6. Step 6: Final answer
    x = 249.51

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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.