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Finding the Fourth Proportional to 490.96, 736.59 and 166.30

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Solution

The fourth proportional to 490.96, 736.59 and 166.30 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.96 : 736.59 = 166.30 : x
  2. Step 2: Convert to fraction form
    490.96/736.59 = 166.30/x
  3. Step 3: Cross multiply
    490.96x = 736.59 × 166.30
  4. Step 4: Simplify right side
    490.96x = 122,494.92
  5. Step 5: Solve for x
    x = 122,494.92/490.96
  6. Step 6: Final answer
    x = 249.50

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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.