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Finding the Fourth Proportional to 490.62, 735.68 and 165.90

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Solution

The fourth proportional to 490.62, 735.68 and 165.90 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.62 : 735.68 = 165.90 : x
  2. Step 2: Convert to fraction form
    490.62/735.68 = 165.90/x
  3. Step 3: Cross multiply
    490.62x = 735.68 × 165.90
  4. Step 4: Simplify right side
    490.62x = 122,049.31
  5. Step 5: Solve for x
    x = 122,049.31/490.62
  6. Step 6: Final answer
    x = 248.77

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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.