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Finding the Fourth Proportional to 270.14, 372.76 and 196.54

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Solution

The fourth proportional to 270.14, 372.76 and 196.54 is: 271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.14 : 372.76 = 196.54 : x
  2. Step 2: Convert to fraction form
    270.14/372.76 = 196.54/x
  3. Step 3: Cross multiply
    270.14x = 372.76 × 196.54
  4. Step 4: Simplify right side
    270.14x = 73,259.90
  5. Step 5: Solve for x
    x = 73,259.90/270.14
  6. Step 6: Final answer
    x = 271.20

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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.