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Finding the Fourth Proportional to 312.52, 431.30 and 196.12

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Solution

The fourth proportional to 312.52, 431.30 and 196.12 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 431.30 = 196.12 : x
  2. Step 2: Convert to fraction form
    312.52/431.30 = 196.12/x
  3. Step 3: Cross multiply
    312.52x = 431.30 × 196.12
  4. Step 4: Simplify right side
    312.52x = 84,586.56
  5. Step 5: Solve for x
    x = 84,586.56/312.52
  6. Step 6: Final answer
    x = 270.66

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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.