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Finding the Fourth Proportional to 311.49, 429.83 and 180.47

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Solution

The fourth proportional to 311.49, 429.83 and 180.47 is: 249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.49 : 429.83 = 180.47 : x
  2. Step 2: Convert to fraction form
    311.49/429.83 = 180.47/x
  3. Step 3: Cross multiply
    311.49x = 429.83 × 180.47
  4. Step 4: Simplify right side
    311.49x = 77,571.42
  5. Step 5: Solve for x
    x = 77,571.42/311.49
  6. Step 6: Final answer
    x = 249.04

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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.