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Finding the Fourth Proportional to 227.98, 314.31 and 196.83

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Solution

The fourth proportional to 227.98, 314.31 and 196.83 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.98 : 314.31 = 196.83 : x
  2. Step 2: Convert to fraction form
    227.98/314.31 = 196.83/x
  3. Step 3: Cross multiply
    227.98x = 314.31 × 196.83
  4. Step 4: Simplify right side
    227.98x = 61,865.64
  5. Step 5: Solve for x
    x = 61,865.64/227.98
  6. Step 6: Final answer
    x = 271.37

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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.