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Finding the Fourth Proportional to 273.52, 377.72 and 199.92

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Solution

The fourth proportional to 273.52, 377.72 and 199.92 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.52 : 377.72 = 199.92 : x
  2. Step 2: Convert to fraction form
    273.52/377.72 = 199.92/x
  3. Step 3: Cross multiply
    273.52x = 377.72 × 199.92
  4. Step 4: Simplify right side
    273.52x = 75,513.78
  5. Step 5: Solve for x
    x = 75,513.78/273.52
  6. Step 6: Final answer
    x = 276.08

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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.