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Finding the Fourth Proportional to 203.86, 305.58 and 163.36

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Solution

The fourth proportional to 203.86, 305.58 and 163.36 is: 244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.86 : 305.58 = 163.36 : x
  2. Step 2: Convert to fraction form
    203.86/305.58 = 163.36/x
  3. Step 3: Cross multiply
    203.86x = 305.58 × 163.36
  4. Step 4: Simplify right side
    203.86x = 49,919.55
  5. Step 5: Solve for x
    x = 49,919.55/203.86
  6. Step 6: Final answer
    x = 244.87

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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.