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Finding the Fourth Proportional to 298.87, 412.60 and 200.80

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Solution

The fourth proportional to 298.87, 412.60 and 200.80 is: 277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.87 : 412.60 = 200.80 : x
  2. Step 2: Convert to fraction form
    298.87/412.60 = 200.80/x
  3. Step 3: Cross multiply
    298.87x = 412.60 × 200.80
  4. Step 4: Simplify right side
    298.87x = 82,850.08
  5. Step 5: Solve for x
    x = 82,850.08/298.87
  6. Step 6: Final answer
    x = 277.21

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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.