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Finding the Fourth Proportional to 133.41, 200.13 and 131.13

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Solution

The fourth proportional to 133.41, 200.13 and 131.13 is: 196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.41 : 200.13 = 131.13 : x
  2. Step 2: Convert to fraction form
    133.41/200.13 = 131.13/x
  3. Step 3: Cross multiply
    133.41x = 200.13 × 131.13
  4. Step 4: Simplify right side
    133.41x = 26,243.05
  5. Step 5: Solve for x
    x = 26,243.05/133.41
  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.