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Finding the Fourth Proportional to 490.24, 735.44 and 165.84

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Solution

The fourth proportional to 490.24, 735.44 and 165.84 is: 248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.24 : 735.44 = 165.84 : x
  2. Step 2: Convert to fraction form
    490.24/735.44 = 165.84/x
  3. Step 3: Cross multiply
    490.24x = 735.44 × 165.84
  4. Step 4: Simplify right side
    490.24x = 121,965.37
  5. Step 5: Solve for x
    x = 121,965.37/490.24
  6. Step 6: Final answer
    x = 248.79

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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.