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Finding the Fourth Proportional to 355.50, 490.60 and 200.30

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Solution

The fourth proportional to 355.50, 490.60 and 200.30 is: 276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.50 : 490.60 = 200.30 : x
  2. Step 2: Convert to fraction form
    355.50/490.60 = 200.30/x
  3. Step 3: Cross multiply
    355.50x = 490.60 × 200.30
  4. Step 4: Simplify right side
    355.50x = 98,267.18
  5. Step 5: Solve for x
    x = 98,267.18/355.50
  6. Step 6: Final answer
    x = 276.42

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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.