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Finding the Fourth Proportional to 311.11, 429.29 and 180.09

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Solution

The fourth proportional to 311.11, 429.29 and 180.09 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.11 : 429.29 = 180.09 : x
  2. Step 2: Convert to fraction form
    311.11/429.29 = 180.09/x
  3. Step 3: Cross multiply
    311.11x = 429.29 × 180.09
  4. Step 4: Simplify right side
    311.11x = 77,310.84
  5. Step 5: Solve for x
    x = 77,310.84/311.11
  6. Step 6: Final answer
    x = 248.50

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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.