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Finding the Fourth Proportional to 203.94, 281.44 and 159.73

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Solution

The fourth proportional to 203.94, 281.44 and 159.73 is: 220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.94 : 281.44 = 159.73 : x
  2. Step 2: Convert to fraction form
    203.94/281.44 = 159.73/x
  3. Step 3: Cross multiply
    203.94x = 281.44 × 159.73
  4. Step 4: Simplify right side
    203.94x = 44,955.49
  5. Step 5: Solve for x
    x = 44,955.49/203.94
  6. Step 6: Final answer
    x = 220.43

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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.