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Finding the Fourth Proportional to 490.44, 735.77 and 165.80

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Solution

The fourth proportional to 490.44, 735.77 and 165.80 is: 248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 735.77 = 165.80 : x
  2. Step 2: Convert to fraction form
    490.44/735.77 = 165.80/x
  3. Step 3: Cross multiply
    490.44x = 735.77 × 165.80
  4. Step 4: Simplify right side
    490.44x = 121,987.85
  5. Step 5: Solve for x
    x = 121,987.85/490.44
  6. Step 6: Final answer
    x = 248.73

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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.