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Finding the Fourth Proportional to 204.44, 281.93 and 138.83

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Solution

The fourth proportional to 204.44, 281.93 and 138.83 is: 191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.44 : 281.93 = 138.83 : x
  2. Step 2: Convert to fraction form
    204.44/281.93 = 138.83/x
  3. Step 3: Cross multiply
    204.44x = 281.93 × 138.83
  4. Step 4: Simplify right side
    204.44x = 39,138.24
  5. Step 5: Solve for x
    x = 39,138.24/204.44
  6. Step 6: Final answer
    x = 191.45

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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.