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Finding the Fourth Proportional to 490.71, 736.17 and 165.99

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Solution

The fourth proportional to 490.71, 736.17 and 165.99 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.71 : 736.17 = 165.99 : x
  2. Step 2: Convert to fraction form
    490.71/736.17 = 165.99/x
  3. Step 3: Cross multiply
    490.71x = 736.17 × 165.99
  4. Step 4: Simplify right side
    490.71x = 122,196.86
  5. Step 5: Solve for x
    x = 122,196.86/490.71
  6. Step 6: Final answer
    x = 249.02

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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.