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Finding the Fourth Proportional to 203.94, 281.33 and 119.85

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Solution

The fourth proportional to 203.94, 281.33 and 119.85 is: 165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.94 : 281.33 = 119.85 : x
  2. Step 2: Convert to fraction form
    203.94/281.33 = 119.85/x
  3. Step 3: Cross multiply
    203.94x = 281.33 × 119.85
  4. Step 4: Simplify right side
    203.94x = 33,717.80
  5. Step 5: Solve for x
    x = 33,717.80/203.94
  6. Step 6: Final answer
    x = 165.34

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Why These Related Problems?

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