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Finding the Fourth Proportional to 273.22, 376.98 and 199.56

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Solution

The fourth proportional to 273.22, 376.98 and 199.56 is: 275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.22 : 376.98 = 199.56 : x
  2. Step 2: Convert to fraction form
    273.22/376.98 = 199.56/x
  3. Step 3: Cross multiply
    273.22x = 376.98 × 199.56
  4. Step 4: Simplify right side
    273.22x = 75,230.13
  5. Step 5: Solve for x
    x = 75,230.13/273.22
  6. Step 6: Final answer
    x = 275.35

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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.