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Finding the Fourth Proportional to 226.43, 339.84 and 123.81

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Solution

The fourth proportional to 226.43, 339.84 and 123.81 is: 185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.43 : 339.84 = 123.81 : x
  2. Step 2: Convert to fraction form
    226.43/339.84 = 123.81/x
  3. Step 3: Cross multiply
    226.43x = 339.84 × 123.81
  4. Step 4: Simplify right side
    226.43x = 42,074.32
  5. Step 5: Solve for x
    x = 42,074.32/226.43
  6. Step 6: Final answer
    x = 185.82

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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.