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Finding the Fourth Proportional to 490.78, 736.20 and 182.80

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Solution

The fourth proportional to 490.78, 736.20 and 182.80 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.78 : 736.20 = 182.80 : x
  2. Step 2: Convert to fraction form
    490.78/736.20 = 182.80/x
  3. Step 3: Cross multiply
    490.78x = 736.20 × 182.80
  4. Step 4: Simplify right side
    490.78x = 134,577.36
  5. Step 5: Solve for x
    x = 134,577.36/490.78
  6. Step 6: Final answer
    x = 274.21

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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.