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Finding the Fourth Proportional to 204.99, 284.06 and 202.49

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Solution

The fourth proportional to 204.99, 284.06 and 202.49 is: 280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.99 : 284.06 = 202.49 : x
  2. Step 2: Convert to fraction form
    204.99/284.06 = 202.49/x
  3. Step 3: Cross multiply
    204.99x = 284.06 × 202.49
  4. Step 4: Simplify right side
    204.99x = 57,516.88
  5. Step 5: Solve for x
    x = 57,516.88/204.99
  6. Step 6: Final answer
    x = 280.58

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