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Finding the Fourth Proportional to 203.83, 306.03 and 131.02

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Solution

The fourth proportional to 203.83, 306.03 and 131.02 is: 196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 306.03 = 131.02 : x
  2. Step 2: Convert to fraction form
    203.83/306.03 = 131.02/x
  3. Step 3: Cross multiply
    203.83x = 306.03 × 131.02
  4. Step 4: Simplify right side
    203.83x = 40,096.05
  5. Step 5: Solve for x
    x = 40,096.05/203.83
  6. Step 6: Final answer
    x = 196.71

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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.