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Finding the Fourth Proportional to 270.02, 372.37 and 196.37

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Solution

The fourth proportional to 270.02, 372.37 and 196.37 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.02 : 372.37 = 196.37 : x
  2. Step 2: Convert to fraction form
    270.02/372.37 = 196.37/x
  3. Step 3: Cross multiply
    270.02x = 372.37 × 196.37
  4. Step 4: Simplify right side
    270.02x = 73,119.94
  5. Step 5: Solve for x
    x = 73,119.94/270.02
  6. Step 6: Final answer
    x = 270.79

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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.