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Finding the Fourth Proportional to 133.56, 199.22 and 131.54

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Solution

The fourth proportional to 133.56, 199.22 and 131.54 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.56 : 199.22 = 131.54 : x
  2. Step 2: Convert to fraction form
    133.56/199.22 = 131.54/x
  3. Step 3: Cross multiply
    133.56x = 199.22 × 131.54
  4. Step 4: Simplify right side
    133.56x = 26,204.73
  5. Step 5: Solve for x
    x = 26,204.73/133.56
  6. Step 6: Final answer
    x = 196.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.