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Finding the Fourth Proportional to 226.13, 338.73 and 104.22

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Solution

The fourth proportional to 226.13, 338.73 and 104.22 is: 156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.13 : 338.73 = 104.22 : x
  2. Step 2: Convert to fraction form
    226.13/338.73 = 104.22/x
  3. Step 3: Cross multiply
    226.13x = 338.73 × 104.22
  4. Step 4: Simplify right side
    226.13x = 35,302.83
  5. Step 5: Solve for x
    x = 35,302.83/226.13
  6. Step 6: Final answer
    x = 156.12

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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.