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Finding the Fourth Proportional to 204.80, 280.81 and 199.94

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Solution

The fourth proportional to 204.80, 280.81 and 199.94 is: 274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 280.81 = 199.94 : x
  2. Step 2: Convert to fraction form
    204.80/280.81 = 199.94/x
  3. Step 3: Cross multiply
    204.80x = 280.81 × 199.94
  4. Step 4: Simplify right side
    204.80x = 56,145.15
  5. Step 5: Solve for x
    x = 56,145.15/204.80
  6. Step 6: Final answer
    x = 274.15

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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.