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Finding the Fourth Proportional to 273.78, 377.46 and 196.02

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Solution

The fourth proportional to 273.78, 377.46 and 196.02 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.78 : 377.46 = 196.02 : x
  2. Step 2: Convert to fraction form
    273.78/377.46 = 196.02/x
  3. Step 3: Cross multiply
    273.78x = 377.46 × 196.02
  4. Step 4: Simplify right side
    273.78x = 73,989.71
  5. Step 5: Solve for x
    x = 73,989.71/273.78
  6. Step 6: Final answer
    x = 270.25

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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.