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Finding the Fourth Proportional to 226.34, 338.82 and 165.46

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Solution

The fourth proportional to 226.34, 338.82 and 165.46 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.34 : 338.82 = 165.46 : x
  2. Step 2: Convert to fraction form
    226.34/338.82 = 165.46/x
  3. Step 3: Cross multiply
    226.34x = 338.82 × 165.46
  4. Step 4: Simplify right side
    226.34x = 56,061.16
  5. Step 5: Solve for x
    x = 56,061.16/226.34
  6. Step 6: Final answer
    x = 247.69

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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.