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Finding the Fourth Proportional to 490.08, 735.41 and 181.96

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Solution

The fourth proportional to 490.08, 735.41 and 181.96 is: 273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 735.41 = 181.96 : x
  2. Step 2: Convert to fraction form
    490.08/735.41 = 181.96/x
  3. Step 3: Cross multiply
    490.08x = 735.41 × 181.96
  4. Step 4: Simplify right side
    490.08x = 133,810.62
  5. Step 5: Solve for x
    x = 133,810.62/490.08
  6. Step 6: Final answer
    x = 273.04

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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.