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Finding the Fourth Proportional to 203.80, 281.19 and 120.93

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Solution

The fourth proportional to 203.80, 281.19 and 120.93 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.80 : 281.19 = 120.93 : x
  2. Step 2: Convert to fraction form
    203.80/281.19 = 120.93/x
  3. Step 3: Cross multiply
    203.80x = 281.19 × 120.93
  4. Step 4: Simplify right side
    203.80x = 34,004.31
  5. Step 5: Solve for x
    x = 34,004.31/203.80
  6. Step 6: Final answer
    x = 166.85

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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.