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Finding the Fourth Proportional to 270.96, 374.10 and 197.16

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Solution

The fourth proportional to 270.96, 374.10 and 197.16 is: 272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.96 : 374.10 = 197.16 : x
  2. Step 2: Convert to fraction form
    270.96/374.10 = 197.16/x
  3. Step 3: Cross multiply
    270.96x = 374.10 × 197.16
  4. Step 4: Simplify right side
    270.96x = 73,757.56
  5. Step 5: Solve for x
    x = 73,757.56/270.96
  6. Step 6: Final answer
    x = 272.21

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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.