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Finding the Fourth Proportional to 312.66, 431.43 and 196.22

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Solution

The fourth proportional to 312.66, 431.43 and 196.22 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.66 : 431.43 = 196.22 : x
  2. Step 2: Convert to fraction form
    312.66/431.43 = 196.22/x
  3. Step 3: Cross multiply
    312.66x = 431.43 × 196.22
  4. Step 4: Simplify right side
    312.66x = 84,655.54
  5. Step 5: Solve for x
    x = 84,655.54/312.66
  6. Step 6: Final answer
    x = 270.76

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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.