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Finding the Fourth Proportional to 490.22, 735.38 and 201.66

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Solution

The fourth proportional to 490.22, 735.38 and 201.66 is: 302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 735.38 = 201.66 : x
  2. Step 2: Convert to fraction form
    490.22/735.38 = 201.66/x
  3. Step 3: Cross multiply
    490.22x = 735.38 × 201.66
  4. Step 4: Simplify right side
    490.22x = 148,293.72
  5. Step 5: Solve for x
    x = 148,293.72/490.22
  6. Step 6: Final answer
    x = 302.51

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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.