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Finding the Fourth Proportional to 490.92, 736.32 and 166.24

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Solution

The fourth proportional to 490.92, 736.32 and 166.24 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.92 : 736.32 = 166.24 : x
  2. Step 2: Convert to fraction form
    490.92/736.32 = 166.24/x
  3. Step 3: Cross multiply
    490.92x = 736.32 × 166.24
  4. Step 4: Simplify right side
    490.92x = 122,405.84
  5. Step 5: Solve for x
    x = 122,405.84/490.92
  6. Step 6: Final answer
    x = 249.34

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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.