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Finding the Fourth Proportional to 490.40, 735.12 and 165.60

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Solution

The fourth proportional to 490.40, 735.12 and 165.60 is: 248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.40 : 735.12 = 165.60 : x
  2. Step 2: Convert to fraction form
    490.40/735.12 = 165.60/x
  3. Step 3: Cross multiply
    490.40x = 735.12 × 165.60
  4. Step 4: Simplify right side
    490.40x = 121,735.87
  5. Step 5: Solve for x
    x = 121,735.87/490.40
  6. Step 6: Final answer
    x = 248.24

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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.