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Finding the Fourth Proportional to 201.74, 280.30 and 199.60

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Solution

The fourth proportional to 201.74, 280.30 and 199.60 is: 277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.74 : 280.30 = 199.60 : x
  2. Step 2: Convert to fraction form
    201.74/280.30 = 199.60/x
  3. Step 3: Cross multiply
    201.74x = 280.30 × 199.60
  4. Step 4: Simplify right side
    201.74x = 55,947.88
  5. Step 5: Solve for x
    x = 55,947.88/201.74
  6. Step 6: Final answer
    x = 277.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.