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Finding the Fourth Proportional to 196.11, 270.68 and 130.64

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Solution

The fourth proportional to 196.11, 270.68 and 130.64 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.11 : 270.68 = 130.64 : x
  2. Step 2: Convert to fraction form
    196.11/270.68 = 130.64/x
  3. Step 3: Cross multiply
    196.11x = 270.68 × 130.64
  4. Step 4: Simplify right side
    196.11x = 35,359.63
  5. Step 5: Solve for x
    x = 35,359.63/196.11
  6. Step 6: Final answer
    x = 180.31

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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.