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Finding the Fourth Proportional to 490.67, 735.73 and 165.86

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Solution

The fourth proportional to 490.67, 735.73 and 165.86 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.67 : 735.73 = 165.86 : x
  2. Step 2: Convert to fraction form
    490.67/735.73 = 165.86/x
  3. Step 3: Cross multiply
    490.67x = 735.73 × 165.86
  4. Step 4: Simplify right side
    490.67x = 122,028.18
  5. Step 5: Solve for x
    x = 122,028.18/490.67
  6. Step 6: Final answer
    x = 248.70

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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.