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Finding the Fourth Proportional to 196.34, 270.82 and 126.48

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Solution

The fourth proportional to 196.34, 270.82 and 126.48 is: 174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 270.82 = 126.48 : x
  2. Step 2: Convert to fraction form
    196.34/270.82 = 126.48/x
  3. Step 3: Cross multiply
    196.34x = 270.82 × 126.48
  4. Step 4: Simplify right side
    196.34x = 34,253.70
  5. Step 5: Solve for x
    x = 34,253.70/196.34
  6. Step 6: Final answer
    x = 174.46

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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.