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Finding the Fourth Proportional to 490.94, 736.22 and 166.22

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Solution

The fourth proportional to 490.94, 736.22 and 166.22 is: 249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.94 : 736.22 = 166.22 : x
  2. Step 2: Convert to fraction form
    490.94/736.22 = 166.22/x
  3. Step 3: Cross multiply
    490.94x = 736.22 × 166.22
  4. Step 4: Simplify right side
    490.94x = 122,374.49
  5. Step 5: Solve for x
    x = 122,374.49/490.94
  6. Step 6: Final answer
    x = 249.27

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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.