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Finding the Fourth Proportional to 337.25, 506.00 and 166.37

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Solution

The fourth proportional to 337.25, 506.00 and 166.37 is: 249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.25 : 506.00 = 166.37 : x
  2. Step 2: Convert to fraction form
    337.25/506.00 = 166.37/x
  3. Step 3: Cross multiply
    337.25x = 506.00 × 166.37
  4. Step 4: Simplify right side
    337.25x = 84,182.39
  5. Step 5: Solve for x
    x = 84,182.39/337.25
  6. Step 6: Final answer
    x = 249.61

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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.