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Finding the Fourth Proportional to 312.67, 431.40 and 196.21

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Solution

The fourth proportional to 312.67, 431.40 and 196.21 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.67 : 431.40 = 196.21 : x
  2. Step 2: Convert to fraction form
    312.67/431.40 = 196.21/x
  3. Step 3: Cross multiply
    312.67x = 431.40 × 196.21
  4. Step 4: Simplify right side
    312.67x = 84,644.99
  5. Step 5: Solve for x
    x = 84,644.99/312.67
  6. Step 6: Final answer
    x = 270.72

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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.