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Finding the Fourth Proportional to 201.80, 277.62 and 200.84

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Solution

The fourth proportional to 201.80, 277.62 and 200.84 is: 276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 277.62 = 200.84 : x
  2. Step 2: Convert to fraction form
    201.80/277.62 = 200.84/x
  3. Step 3: Cross multiply
    201.80x = 277.62 × 200.84
  4. Step 4: Simplify right side
    201.80x = 55,757.20
  5. Step 5: Solve for x
    x = 55,757.20/201.80
  6. Step 6: Final answer
    x = 276.30

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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.