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Finding the Fourth Proportional to 211.11, 290.49 and 204.78

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Solution

The fourth proportional to 211.11, 290.49 and 204.78 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.11 : 290.49 = 204.78 : x
  2. Step 2: Convert to fraction form
    211.11/290.49 = 204.78/x
  3. Step 3: Cross multiply
    211.11x = 290.49 × 204.78
  4. Step 4: Simplify right side
    211.11x = 59,486.54
  5. Step 5: Solve for x
    x = 59,486.54/211.11
  6. Step 6: Final answer
    x = 281.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.