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Finding the Fourth Proportional to 203.93, 306.61 and 163.63

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Solution

The fourth proportional to 203.93, 306.61 and 163.63 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.93 : 306.61 = 163.63 : x
  2. Step 2: Convert to fraction form
    203.93/306.61 = 163.63/x
  3. Step 3: Cross multiply
    203.93x = 306.61 × 163.63
  4. Step 4: Simplify right side
    203.93x = 50,170.57
  5. Step 5: Solve for x
    x = 50,170.57/203.93
  6. Step 6: Final answer
    x = 246.02

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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.