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Finding the Fourth Proportional to 273.92, 377.87 and 200.07

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Solution

The fourth proportional to 273.92, 377.87 and 200.07 is: 276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.92 : 377.87 = 200.07 : x
  2. Step 2: Convert to fraction form
    273.92/377.87 = 200.07/x
  3. Step 3: Cross multiply
    273.92x = 377.87 × 200.07
  4. Step 4: Simplify right side
    273.92x = 75,599.45
  5. Step 5: Solve for x
    x = 75,599.45/273.92
  6. Step 6: Final answer
    x = 276.00

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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.