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Finding the Fourth Proportional to 226.44, 338.34 and 167.63

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Solution

The fourth proportional to 226.44, 338.34 and 167.63 is: 250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.44 : 338.34 = 167.63 : x
  2. Step 2: Convert to fraction form
    226.44/338.34 = 167.63/x
  3. Step 3: Cross multiply
    226.44x = 338.34 × 167.63
  4. Step 4: Simplify right side
    226.44x = 56,715.93
  5. Step 5: Solve for x
    x = 56,715.93/226.44
  6. Step 6: Final answer
    x = 250.47

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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.