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Finding the Fourth Proportional to 273.32, 377.11 and 199.68

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Solution

The fourth proportional to 273.32, 377.11 and 199.68 is: 275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.32 : 377.11 = 199.68 : x
  2. Step 2: Convert to fraction form
    273.32/377.11 = 199.68/x
  3. Step 3: Cross multiply
    273.32x = 377.11 × 199.68
  4. Step 4: Simplify right side
    273.32x = 75,301.32
  5. Step 5: Solve for x
    x = 75,301.32/273.32
  6. Step 6: Final answer
    x = 275.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.