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Finding the Fourth Proportional to 230.27, 344.79 and 121.73

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Solution

The fourth proportional to 230.27, 344.79 and 121.73 is: 182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.27 : 344.79 = 121.73 : x
  2. Step 2: Convert to fraction form
    230.27/344.79 = 121.73/x
  3. Step 3: Cross multiply
    230.27x = 344.79 × 121.73
  4. Step 4: Simplify right side
    230.27x = 41,968.95
  5. Step 5: Solve for x
    x = 41,968.95/230.27
  6. Step 6: Final answer
    x = 182.26

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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.