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Finding the Fourth Proportional to 196.12, 270.84 and 118.54

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Solution

The fourth proportional to 196.12, 270.84 and 118.54 is: 163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.12 : 270.84 = 118.54 : x
  2. Step 2: Convert to fraction form
    196.12/270.84 = 118.54/x
  3. Step 3: Cross multiply
    196.12x = 270.84 × 118.54
  4. Step 4: Simplify right side
    196.12x = 32,105.37
  5. Step 5: Solve for x
    x = 32,105.37/196.12
  6. Step 6: Final answer
    x = 163.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.