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Finding the Fourth Proportional to 270.34, 372.78 and 196.66

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Solution

The fourth proportional to 270.34, 372.78 and 196.66 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.34 : 372.78 = 196.66 : x
  2. Step 2: Convert to fraction form
    270.34/372.78 = 196.66/x
  3. Step 3: Cross multiply
    270.34x = 372.78 × 196.66
  4. Step 4: Simplify right side
    270.34x = 73,310.91
  5. Step 5: Solve for x
    x = 73,310.91/270.34
  6. Step 6: Final answer
    x = 271.18

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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.