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Finding the Fourth Proportional to 490.30, 735.72 and 165.76

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Solution

The fourth proportional to 490.30, 735.72 and 165.76 is: 248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.30 : 735.72 = 165.76 : x
  2. Step 2: Convert to fraction form
    490.30/735.72 = 165.76/x
  3. Step 3: Cross multiply
    490.30x = 735.72 × 165.76
  4. Step 4: Simplify right side
    490.30x = 121,952.95
  5. Step 5: Solve for x
    x = 121,952.95/490.30
  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.