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Finding the Fourth Proportional to 490.15, 735.51 and 182.22

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Solution

The fourth proportional to 490.15, 735.51 and 182.22 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.15 : 735.51 = 182.22 : x
  2. Step 2: Convert to fraction form
    490.15/735.51 = 182.22/x
  3. Step 3: Cross multiply
    490.15x = 735.51 × 182.22
  4. Step 4: Simplify right side
    490.15x = 134,024.63
  5. Step 5: Solve for x
    x = 134,024.63/490.15
  6. Step 6: Final answer
    x = 273.44

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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.