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Finding the Fourth Proportional to 201.63, 276.44 and 197.99

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Solution

The fourth proportional to 201.63, 276.44 and 197.99 is: 271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.63 : 276.44 = 197.99 : x
  2. Step 2: Convert to fraction form
    201.63/276.44 = 197.99/x
  3. Step 3: Cross multiply
    201.63x = 276.44 × 197.99
  4. Step 4: Simplify right side
    201.63x = 54,729.98
  5. Step 5: Solve for x
    x = 54,729.98/201.63
  6. Step 6: Final answer
    x = 271.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.