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Finding the Fourth Proportional to 237.72, 327.62 and 196.02

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Solution

The fourth proportional to 237.72, 327.62 and 196.02 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.72 : 327.62 = 196.02 : x
  2. Step 2: Convert to fraction form
    237.72/327.62 = 196.02/x
  3. Step 3: Cross multiply
    237.72x = 327.62 × 196.02
  4. Step 4: Simplify right side
    237.72x = 64,219.09
  5. Step 5: Solve for x
    x = 64,219.09/237.72
  6. Step 6: Final answer
    x = 270.15

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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.