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Finding the Fourth Proportional to 270.31, 372.83 and 196.87

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Solution

The fourth proportional to 270.31, 372.83 and 196.87 is: 271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.31 : 372.83 = 196.87 : x
  2. Step 2: Convert to fraction form
    270.31/372.83 = 196.87/x
  3. Step 3: Cross multiply
    270.31x = 372.83 × 196.87
  4. Step 4: Simplify right side
    270.31x = 73,398.06
  5. Step 5: Solve for x
    x = 73,398.06/270.31
  6. Step 6: Final answer
    x = 271.53

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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.