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Finding the Fourth Proportional to 196.24, 270.81 and 107.72

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Solution

The fourth proportional to 196.24, 270.81 and 107.72 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.24 : 270.81 = 107.72 : x
  2. Step 2: Convert to fraction form
    196.24/270.81 = 107.72/x
  3. Step 3: Cross multiply
    196.24x = 270.81 × 107.72
  4. Step 4: Simplify right side
    196.24x = 29,171.65
  5. Step 5: Solve for x
    x = 29,171.65/196.24
  6. Step 6: Final answer
    x = 148.65

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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.