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Finding the Fourth Proportional to 226.53, 338.13 and 197.82

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Solution

The fourth proportional to 226.53, 338.13 and 197.82 is: 295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 338.13 = 197.82 : x
  2. Step 2: Convert to fraction form
    226.53/338.13 = 197.82/x
  3. Step 3: Cross multiply
    226.53x = 338.13 × 197.82
  4. Step 4: Simplify right side
    226.53x = 66,888.88
  5. Step 5: Solve for x
    x = 66,888.88/226.53
  6. Step 6: Final answer
    x = 295.28

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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.