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Finding the Fourth Proportional to 311.41, 429.81 and 180.49

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Solution

The fourth proportional to 311.41, 429.81 and 180.49 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.41 : 429.81 = 180.49 : x
  2. Step 2: Convert to fraction form
    311.41/429.81 = 180.49/x
  3. Step 3: Cross multiply
    311.41x = 429.81 × 180.49
  4. Step 4: Simplify right side
    311.41x = 77,576.41
  5. Step 5: Solve for x
    x = 77,576.41/311.41
  6. Step 6: Final answer
    x = 249.11

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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.