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Finding the Fourth Proportional to 258.55, 356.82 and 196.27

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Solution

The fourth proportional to 258.55, 356.82 and 196.27 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.55 : 356.82 = 196.27 : x
  2. Step 2: Convert to fraction form
    258.55/356.82 = 196.27/x
  3. Step 3: Cross multiply
    258.55x = 356.82 × 196.27
  4. Step 4: Simplify right side
    258.55x = 70,033.06
  5. Step 5: Solve for x
    x = 70,033.06/258.55
  6. Step 6: Final answer
    x = 270.87

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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.