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Finding the Fourth Proportional to 226.58, 339.41 and 189.92

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Solution

The fourth proportional to 226.58, 339.41 and 189.92 is: 284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.58 : 339.41 = 189.92 : x
  2. Step 2: Convert to fraction form
    226.58/339.41 = 189.92/x
  3. Step 3: Cross multiply
    226.58x = 339.41 × 189.92
  4. Step 4: Simplify right side
    226.58x = 64,462.07
  5. Step 5: Solve for x
    x = 64,462.07/226.58
  6. Step 6: Final answer
    x = 284.51

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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.