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Finding the Fourth Proportional to 203.83, 281.38 and 120.91

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Solution

The fourth proportional to 203.83, 281.38 and 120.91 is: 166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 281.38 = 120.91 : x
  2. Step 2: Convert to fraction form
    203.83/281.38 = 120.91/x
  3. Step 3: Cross multiply
    203.83x = 281.38 × 120.91
  4. Step 4: Simplify right side
    203.83x = 34,021.66
  5. Step 5: Solve for x
    x = 34,021.66/203.83
  6. Step 6: Final answer
    x = 166.91

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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.