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Finding the Fourth Proportional to 204.25, 281.36 and 189.30

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Solution

The fourth proportional to 204.25, 281.36 and 189.30 is: 260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.25 : 281.36 = 189.30 : x
  2. Step 2: Convert to fraction form
    204.25/281.36 = 189.30/x
  3. Step 3: Cross multiply
    204.25x = 281.36 × 189.30
  4. Step 4: Simplify right side
    204.25x = 53,260.50
  5. Step 5: Solve for x
    x = 53,260.50/204.25
  6. Step 6: Final answer
    x = 260.76

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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.