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Finding the Fourth Proportional to 273.28, 376.56 and 199.12

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Solution

The fourth proportional to 273.28, 376.56 and 199.12 is: 274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.28 : 376.56 = 199.12 : x
  2. Step 2: Convert to fraction form
    273.28/376.56 = 199.12/x
  3. Step 3: Cross multiply
    273.28x = 376.56 × 199.12
  4. Step 4: Simplify right side
    273.28x = 74,980.63
  5. Step 5: Solve for x
    x = 74,980.63/273.28
  6. Step 6: Final answer
    x = 274.37

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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.