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Finding the Fourth Proportional to 490.76, 735.76 and 166.04

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Solution

The fourth proportional to 490.76, 735.76 and 166.04 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.76 : 735.76 = 166.04 : x
  2. Step 2: Convert to fraction form
    490.76/735.76 = 166.04/x
  3. Step 3: Cross multiply
    490.76x = 735.76 × 166.04
  4. Step 4: Simplify right side
    490.76x = 122,165.59
  5. Step 5: Solve for x
    x = 122,165.59/490.76
  6. Step 6: Final answer
    x = 248.93

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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.