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Finding the Fourth Proportional to 203.90, 281.34 and 121.00

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Solution

The fourth proportional to 203.90, 281.34 and 121.00 is: 166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.90 : 281.34 = 121.00 : x
  2. Step 2: Convert to fraction form
    203.90/281.34 = 121.00/x
  3. Step 3: Cross multiply
    203.90x = 281.34 × 121.00
  4. Step 4: Simplify right side
    203.90x = 34,040.73
  5. Step 5: Solve for x
    x = 34,040.73/203.90
  6. Step 6: Final answer
    x = 166.95

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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.