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Finding the Fourth Proportional to 201.22, 277.08 and 196.68

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Solution

The fourth proportional to 201.22, 277.08 and 196.68 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.22 : 277.08 = 196.68 : x
  2. Step 2: Convert to fraction form
    201.22/277.08 = 196.68/x
  3. Step 3: Cross multiply
    201.22x = 277.08 × 196.68
  4. Step 4: Simplify right side
    201.22x = 54,496.09
  5. Step 5: Solve for x
    x = 54,496.09/201.22
  6. Step 6: Final answer
    x = 270.83

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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.