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Finding the Fourth Proportional to 490.93, 736.49 and 144.27

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Solution

The fourth proportional to 490.93, 736.49 and 144.27 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.93 : 736.49 = 144.27 : x
  2. Step 2: Convert to fraction form
    490.93/736.49 = 144.27/x
  3. Step 3: Cross multiply
    490.93x = 736.49 × 144.27
  4. Step 4: Simplify right side
    490.93x = 106,253.77
  5. Step 5: Solve for x
    x = 106,253.77/490.93
  6. Step 6: Final answer
    x = 216.43

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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.