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Finding the Fourth Proportional to 204.28, 281.91 and 111.02

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Solution

The fourth proportional to 204.28, 281.91 and 111.02 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.28 : 281.91 = 111.02 : x
  2. Step 2: Convert to fraction form
    204.28/281.91 = 111.02/x
  3. Step 3: Cross multiply
    204.28x = 281.91 × 111.02
  4. Step 4: Simplify right side
    204.28x = 31,297.80
  5. Step 5: Solve for x
    x = 31,297.80/204.28
  6. Step 6: Final answer
    x = 153.21

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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.