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Finding the Fourth Proportional to 273.42, 377.46 and 199.89

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Solution

The fourth proportional to 273.42, 377.46 and 199.89 is: 275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.42 : 377.46 = 199.89 : x
  2. Step 2: Convert to fraction form
    273.42/377.46 = 199.89/x
  3. Step 3: Cross multiply
    273.42x = 377.46 × 199.89
  4. Step 4: Simplify right side
    273.42x = 75,450.48
  5. Step 5: Solve for x
    x = 75,450.48/273.42
  6. Step 6: Final answer
    x = 275.95

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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.