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Finding the Fourth Proportional to 204.72, 280.88 and 199.92

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Solution

The fourth proportional to 204.72, 280.88 and 199.92 is: 274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.72 : 280.88 = 199.92 : x
  2. Step 2: Convert to fraction form
    204.72/280.88 = 199.92/x
  3. Step 3: Cross multiply
    204.72x = 280.88 × 199.92
  4. Step 4: Simplify right side
    204.72x = 56,153.53
  5. Step 5: Solve for x
    x = 56,153.53/204.72
  6. Step 6: Final answer
    x = 274.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.