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Finding the Fourth Proportional to 355.46, 490.56 and 200.22

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Solution

The fourth proportional to 355.46, 490.56 and 200.22 is: 276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.46 : 490.56 = 200.22 : x
  2. Step 2: Convert to fraction form
    355.46/490.56 = 200.22/x
  3. Step 3: Cross multiply
    355.46x = 490.56 × 200.22
  4. Step 4: Simplify right side
    355.46x = 98,219.92
  5. Step 5: Solve for x
    x = 98,219.92/355.46
  6. Step 6: Final answer
    x = 276.32

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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.