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Finding the Fourth Proportional to 490.18, 735.20 and 161.12

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Solution

The fourth proportional to 490.18, 735.20 and 161.12 is: 241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.18 : 735.20 = 161.12 : x
  2. Step 2: Convert to fraction form
    490.18/735.20 = 161.12/x
  3. Step 3: Cross multiply
    490.18x = 735.20 × 161.12
  4. Step 4: Simplify right side
    490.18x = 118,452.78
  5. Step 5: Solve for x
    x = 118,452.78/490.18
  6. Step 6: Final answer
    x = 241.65

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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.