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Finding the Fourth Proportional to 490.45, 735.79 and 161.41

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Solution

The fourth proportional to 490.45, 735.79 and 161.41 is: 242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.45 : 735.79 = 161.41 : x
  2. Step 2: Convert to fraction form
    490.45/735.79 = 161.41/x
  3. Step 3: Cross multiply
    490.45x = 735.79 × 161.41
  4. Step 4: Simplify right side
    490.45x = 118,763.86
  5. Step 5: Solve for x
    x = 118,763.86/490.45
  6. Step 6: Final answer
    x = 242.15

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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.