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Finding the Fourth Proportional to 201.44, 277.80 and 196.40

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Solution

The fourth proportional to 201.44, 277.80 and 196.40 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.44 : 277.80 = 196.40 : x
  2. Step 2: Convert to fraction form
    201.44/277.80 = 196.40/x
  3. Step 3: Cross multiply
    201.44x = 277.80 × 196.40
  4. Step 4: Simplify right side
    201.44x = 54,559.92
  5. Step 5: Solve for x
    x = 54,559.92/201.44
  6. Step 6: Final answer
    x = 270.85

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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.