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Finding the Fourth Proportional to 311.65, 429.97 and 180.56

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Solution

The fourth proportional to 311.65, 429.97 and 180.56 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 429.97 = 180.56 : x
  2. Step 2: Convert to fraction form
    311.65/429.97 = 180.56/x
  3. Step 3: Cross multiply
    311.65x = 429.97 × 180.56
  4. Step 4: Simplify right side
    311.65x = 77,634.48
  5. Step 5: Solve for x
    x = 77,634.48/311.65
  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.