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Finding the Fourth Proportional to 490.83, 736.36 and 166.22

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Solution

The fourth proportional to 490.83, 736.36 and 166.22 is: 249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.83 : 736.36 = 166.22 : x
  2. Step 2: Convert to fraction form
    490.83/736.36 = 166.22/x
  3. Step 3: Cross multiply
    490.83x = 736.36 × 166.22
  4. Step 4: Simplify right side
    490.83x = 122,397.76
  5. Step 5: Solve for x
    x = 122,397.76/490.83
  6. Step 6: Final answer
    x = 249.37

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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.