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Finding the Fourth Proportional to 203.68, 281.08 and 120.76

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Solution

The fourth proportional to 203.68, 281.08 and 120.76 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 281.08 = 120.76 : x
  2. Step 2: Convert to fraction form
    203.68/281.08 = 120.76/x
  3. Step 3: Cross multiply
    203.68x = 281.08 × 120.76
  4. Step 4: Simplify right side
    203.68x = 33,943.22
  5. Step 5: Solve for x
    x = 33,943.22/203.68
  6. Step 6: Final answer
    x = 166.65

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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.