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Finding the Fourth Proportional to 490.29, 735.43 and 165.66

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Solution

The fourth proportional to 490.29, 735.43 and 165.66 is: 248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.29 : 735.43 = 165.66 : x
  2. Step 2: Convert to fraction form
    490.29/735.43 = 165.66/x
  3. Step 3: Cross multiply
    490.29x = 735.43 × 165.66
  4. Step 4: Simplify right side
    490.29x = 121,831.33
  5. Step 5: Solve for x
    x = 121,831.33/490.29
  6. Step 6: Final answer
    x = 248.49

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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.