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Finding the Fourth Proportional to 226.84, 339.57 and 165.96

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Solution

The fourth proportional to 226.84, 339.57 and 165.96 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.84 : 339.57 = 165.96 : x
  2. Step 2: Convert to fraction form
    226.84/339.57 = 165.96/x
  3. Step 3: Cross multiply
    226.84x = 339.57 × 165.96
  4. Step 4: Simplify right side
    226.84x = 56,355.04
  5. Step 5: Solve for x
    x = 56,355.04/226.84
  6. Step 6: Final answer
    x = 248.44

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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.