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Finding the Fourth Proportional to 226.48, 338.04 and 197.52

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Solution

The fourth proportional to 226.48, 338.04 and 197.52 is: 294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.48 : 338.04 = 197.52 : x
  2. Step 2: Convert to fraction form
    226.48/338.04 = 197.52/x
  3. Step 3: Cross multiply
    226.48x = 338.04 × 197.52
  4. Step 4: Simplify right side
    226.48x = 66,769.66
  5. Step 5: Solve for x
    x = 66,769.66/226.48
  6. Step 6: Final answer
    x = 294.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.