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Finding the Fourth Proportional to 338.26, 506.91 and 189.88

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Solution

The fourth proportional to 338.26, 506.91 and 189.88 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.26 : 506.91 = 189.88 : x
  2. Step 2: Convert to fraction form
    338.26/506.91 = 189.88/x
  3. Step 3: Cross multiply
    338.26x = 506.91 × 189.88
  4. Step 4: Simplify right side
    338.26x = 96,249.54
  5. Step 5: Solve for x
    x = 96,249.54/338.26
  6. Step 6: Final answer
    x = 284.55

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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.