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Finding the Fourth Proportional to 226.46, 339.77 and 123.71

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Solution

The fourth proportional to 226.46, 339.77 and 123.71 is: 185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.46 : 339.77 = 123.71 : x
  2. Step 2: Convert to fraction form
    226.46/339.77 = 123.71/x
  3. Step 3: Cross multiply
    226.46x = 339.77 × 123.71
  4. Step 4: Simplify right side
    226.46x = 42,031.56
  5. Step 5: Solve for x
    x = 42,031.56/226.46
  6. Step 6: Final answer
    x = 185.60

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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.