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Finding the Fourth Proportional to 196.41, 270.94 and 130.80

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Solution

The fourth proportional to 196.41, 270.94 and 130.80 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.41 : 270.94 = 130.80 : x
  2. Step 2: Convert to fraction form
    196.41/270.94 = 130.80/x
  3. Step 3: Cross multiply
    196.41x = 270.94 × 130.80
  4. Step 4: Simplify right side
    196.41x = 35,438.95
  5. Step 5: Solve for x
    x = 35,438.95/196.41
  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.