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Finding the Fourth Proportional to 355.26, 490.24 and 200.02

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Solution

The fourth proportional to 355.26, 490.24 and 200.02 is: 276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.26 : 490.24 = 200.02 : x
  2. Step 2: Convert to fraction form
    355.26/490.24 = 200.02/x
  3. Step 3: Cross multiply
    355.26x = 490.24 × 200.02
  4. Step 4: Simplify right side
    355.26x = 98,057.80
  5. Step 5: Solve for x
    x = 98,057.80/355.26
  6. Step 6: Final answer
    x = 276.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.