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Finding the Fourth Proportional to 146.79, 219.96 and 115.97

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Solution

The fourth proportional to 146.79, 219.96 and 115.97 is: 173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.79 : 219.96 = 115.97 : x
  2. Step 2: Convert to fraction form
    146.79/219.96 = 115.97/x
  3. Step 3: Cross multiply
    146.79x = 219.96 × 115.97
  4. Step 4: Simplify right side
    146.79x = 25,507.66
  5. Step 5: Solve for x
    x = 25,507.66/146.79
  6. Step 6: Final answer
    x = 173.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.