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Finding the Fourth Proportional to 490.71, 735.91 and 166

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Solution

The fourth proportional to 490.71, 735.91 and 166 is: 248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.71 : 735.91 = 166 : x
  2. Step 2: Convert to fraction form
    490.71/735.91 = 166/x
  3. Step 3: Cross multiply
    490.71x = 735.91 × 166
  4. Step 4: Simplify right side
    490.71x = 122,161.06
  5. Step 5: Solve for x
    x = 122,161.06/490.71
  6. Step 6: Final answer
    x = 248.95

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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.