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Finding the Fourth Proportional to 203.78, 281.14 and 120.89

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Solution

The fourth proportional to 203.78, 281.14 and 120.89 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.78 : 281.14 = 120.89 : x
  2. Step 2: Convert to fraction form
    203.78/281.14 = 120.89/x
  3. Step 3: Cross multiply
    203.78x = 281.14 × 120.89
  4. Step 4: Simplify right side
    203.78x = 33,987.42
  5. Step 5: Solve for x
    x = 33,987.42/203.78
  6. Step 6: Final answer
    x = 166.78

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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.