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Finding the Fourth Proportional to 490.56, 735.38 and 182.21

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Solution

The fourth proportional to 490.56, 735.38 and 182.21 is: 273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 735.38 = 182.21 : x
  2. Step 2: Convert to fraction form
    490.56/735.38 = 182.21/x
  3. Step 3: Cross multiply
    490.56x = 735.38 × 182.21
  4. Step 4: Simplify right side
    490.56x = 133,989.69
  5. Step 5: Solve for x
    x = 133,989.69/490.56
  6. Step 6: Final answer
    x = 273.14

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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.