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Finding the Fourth Proportional to 312.50, 431.27 and 196.14

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Solution

The fourth proportional to 312.50, 431.27 and 196.14 is: 270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 431.27 = 196.14 : x
  2. Step 2: Convert to fraction form
    312.50/431.27 = 196.14/x
  3. Step 3: Cross multiply
    312.50x = 431.27 × 196.14
  4. Step 4: Simplify right side
    312.50x = 84,589.30
  5. Step 5: Solve for x
    x = 84,589.30/312.50
  6. Step 6: Final answer
    x = 270.69

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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.