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Finding the Fourth Proportional to 490.20, 735.40 and 165.60

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Solution

The fourth proportional to 490.20, 735.40 and 165.60 is: 248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.20 : 735.40 = 165.60 : x
  2. Step 2: Convert to fraction form
    490.20/735.40 = 165.60/x
  3. Step 3: Cross multiply
    490.20x = 735.40 × 165.60
  4. Step 4: Simplify right side
    490.20x = 121,782.24
  5. Step 5: Solve for x
    x = 121,782.24/490.20
  6. Step 6: Final answer
    x = 248.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.