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Finding the Fourth Proportional to 490.16, 735.30 and 182.09

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Solution

The fourth proportional to 490.16, 735.30 and 182.09 is: 273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 735.30 = 182.09 : x
  2. Step 2: Convert to fraction form
    490.16/735.30 = 182.09/x
  3. Step 3: Cross multiply
    490.16x = 735.30 × 182.09
  4. Step 4: Simplify right side
    490.16x = 133,892.62
  5. Step 5: Solve for x
    x = 133,892.62/490.16
  6. Step 6: Final answer
    x = 273.16

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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.