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Finding the Fourth Proportional to 196.12, 270.82 and 130.66

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Solution

The fourth proportional to 196.12, 270.82 and 130.66 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.12 : 270.82 = 130.66 : x
  2. Step 2: Convert to fraction form
    196.12/270.82 = 130.66/x
  3. Step 3: Cross multiply
    196.12x = 270.82 × 130.66
  4. Step 4: Simplify right side
    196.12x = 35,385.34
  5. Step 5: Solve for x
    x = 35,385.34/196.12
  6. Step 6: Final answer
    x = 180.43

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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.