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Finding the Fourth Proportional to 311.84, 430.40 and 180.92

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Solution

The fourth proportional to 311.84, 430.40 and 180.92 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.84 : 430.40 = 180.92 : x
  2. Step 2: Convert to fraction form
    311.84/430.40 = 180.92/x
  3. Step 3: Cross multiply
    311.84x = 430.40 × 180.92
  4. Step 4: Simplify right side
    311.84x = 77,867.97
  5. Step 5: Solve for x
    x = 77,867.97/311.84
  6. Step 6: Final answer
    x = 249.70

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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.