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Finding the Fourth Proportional to 204.75, 283.09 and 201.80

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Solution

The fourth proportional to 204.75, 283.09 and 201.80 is: 279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 283.09 = 201.80 : x
  2. Step 2: Convert to fraction form
    204.75/283.09 = 201.80/x
  3. Step 3: Cross multiply
    204.75x = 283.09 × 201.80
  4. Step 4: Simplify right side
    204.75x = 57,127.56
  5. Step 5: Solve for x
    x = 57,127.56/204.75
  6. Step 6: Final answer
    x = 279.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.