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Finding the Fourth Proportional to 490.57, 735.59 and 161.42

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Solution

The fourth proportional to 490.57, 735.59 and 161.42 is: 242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.57 : 735.59 = 161.42 : x
  2. Step 2: Convert to fraction form
    490.57/735.59 = 161.42/x
  3. Step 3: Cross multiply
    490.57x = 735.59 × 161.42
  4. Step 4: Simplify right side
    490.57x = 118,735.66
  5. Step 5: Solve for x
    x = 118,735.66/490.57
  6. Step 6: Final answer
    x = 242.04

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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.