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Finding the Fourth Proportional to 273.14, 377.04 and 199.98

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Solution

The fourth proportional to 273.14, 377.04 and 199.98 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.14 : 377.04 = 199.98 : x
  2. Step 2: Convert to fraction form
    273.14/377.04 = 199.98/x
  3. Step 3: Cross multiply
    273.14x = 377.04 × 199.98
  4. Step 4: Simplify right side
    273.14x = 75,399.46
  5. Step 5: Solve for x
    x = 75,399.46/273.14
  6. Step 6: Final answer
    x = 276.05

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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.