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Finding the Fourth Proportional to 490.27, 735.49 and 165.56

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Solution

The fourth proportional to 490.27, 735.49 and 165.56 is: 248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.27 : 735.49 = 165.56 : x
  2. Step 2: Convert to fraction form
    490.27/735.49 = 165.56/x
  3. Step 3: Cross multiply
    490.27x = 735.49 × 165.56
  4. Step 4: Simplify right side
    490.27x = 121,765.06
  5. Step 5: Solve for x
    x = 121,765.06/490.27
  6. Step 6: Final answer
    x = 248.36

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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.