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Finding the Fourth Proportional to 490.29, 735.75 and 182.18

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Solution

The fourth proportional to 490.29, 735.75 and 182.18 is: 273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.29 : 735.75 = 182.18 : x
  2. Step 2: Convert to fraction form
    490.29/735.75 = 182.18/x
  3. Step 3: Cross multiply
    490.29x = 735.75 × 182.18
  4. Step 4: Simplify right side
    490.29x = 134,040.77
  5. Step 5: Solve for x
    x = 134,040.77/490.29
  6. Step 6: Final answer
    x = 273.39

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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.