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Finding the Fourth Proportional to 196.05, 270.56 and 107.54

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Solution

The fourth proportional to 196.05, 270.56 and 107.54 is: 148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.05 : 270.56 = 107.54 : x
  2. Step 2: Convert to fraction form
    196.05/270.56 = 107.54/x
  3. Step 3: Cross multiply
    196.05x = 270.56 × 107.54
  4. Step 4: Simplify right side
    196.05x = 29,096.02
  5. Step 5: Solve for x
    x = 29,096.02/196.05
  6. Step 6: Final answer
    x = 148.41

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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.