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Finding the Fourth Proportional to 204.25, 281.83 and 121.35

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Solution

The fourth proportional to 204.25, 281.83 and 121.35 is: 167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.25 : 281.83 = 121.35 : x
  2. Step 2: Convert to fraction form
    204.25/281.83 = 121.35/x
  3. Step 3: Cross multiply
    204.25x = 281.83 × 121.35
  4. Step 4: Simplify right side
    204.25x = 34,200.07
  5. Step 5: Solve for x
    x = 34,200.07/204.25
  6. Step 6: Final answer
    x = 167.44

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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.