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Finding the Fourth Proportional to 490.40, 735.60 and 165.74

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Solution

The fourth proportional to 490.40, 735.60 and 165.74 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.40 : 735.60 = 165.74 : x
  2. Step 2: Convert to fraction form
    490.40/735.60 = 165.74/x
  3. Step 3: Cross multiply
    490.40x = 735.60 × 165.74
  4. Step 4: Simplify right side
    490.40x = 121,918.34
  5. Step 5: Solve for x
    x = 121,918.34/490.40
  6. Step 6: Final answer
    x = 248.61

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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.