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Finding the Fourth Proportional to 203.44, 304.81 and 169.42

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Solution

The fourth proportional to 203.44, 304.81 and 169.42 is: 253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.44 : 304.81 = 169.42 : x
  2. Step 2: Convert to fraction form
    203.44/304.81 = 169.42/x
  3. Step 3: Cross multiply
    203.44x = 304.81 × 169.42
  4. Step 4: Simplify right side
    203.44x = 51,640.06
  5. Step 5: Solve for x
    x = 51,640.06/203.44
  6. Step 6: Final answer
    x = 253.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.