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Finding the Fourth Proportional to 203.76, 281.20 and 120.86

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Solution

The fourth proportional to 203.76, 281.20 and 120.86 is: 166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.76 : 281.20 = 120.86 : x
  2. Step 2: Convert to fraction form
    203.76/281.20 = 120.86/x
  3. Step 3: Cross multiply
    203.76x = 281.20 × 120.86
  4. Step 4: Simplify right side
    203.76x = 33,985.83
  5. Step 5: Solve for x
    x = 33,985.83/203.76
  6. Step 6: Final answer
    x = 166.79

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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.