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Finding the Fourth Proportional to 204.87, 280.57 and 202.17

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Solution

The fourth proportional to 204.87, 280.57 and 202.17 is: 276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.87 : 280.57 = 202.17 : x
  2. Step 2: Convert to fraction form
    204.87/280.57 = 202.17/x
  3. Step 3: Cross multiply
    204.87x = 280.57 × 202.17
  4. Step 4: Simplify right side
    204.87x = 56,722.33
  5. Step 5: Solve for x
    x = 56,722.33/204.87
  6. Step 6: Final answer
    x = 276.87

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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.