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Finding the Fourth Proportional to 208.17, 285.41 and 204.99

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Solution

The fourth proportional to 208.17, 285.41 and 204.99 is: 281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.17 : 285.41 = 204.99 : x
  2. Step 2: Convert to fraction form
    208.17/285.41 = 204.99/x
  3. Step 3: Cross multiply
    208.17x = 285.41 × 204.99
  4. Step 4: Simplify right side
    208.17x = 58,506.20
  5. Step 5: Solve for x
    x = 58,506.20/208.17
  6. Step 6: Final answer
    x = 281.05

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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.