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Finding the Fourth Proportional to 226.08, 338.40 and 165.12

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Solution

The fourth proportional to 226.08, 338.40 and 165.12 is: 247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.08 : 338.40 = 165.12 : x
  2. Step 2: Convert to fraction form
    226.08/338.40 = 165.12/x
  3. Step 3: Cross multiply
    226.08x = 338.40 × 165.12
  4. Step 4: Simplify right side
    226.08x = 55,876.61
  5. Step 5: Solve for x
    x = 55,876.61/226.08
  6. Step 6: Final answer
    x = 247.15

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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.