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Finding the Fourth Proportional to 196.45, 270.51 and 141.09

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Solution

The fourth proportional to 196.45, 270.51 and 141.09 is: 194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.45 : 270.51 = 141.09 : x
  2. Step 2: Convert to fraction form
    196.45/270.51 = 141.09/x
  3. Step 3: Cross multiply
    196.45x = 270.51 × 141.09
  4. Step 4: Simplify right side
    196.45x = 38,167.42
  5. Step 5: Solve for x
    x = 38,167.42/196.45
  6. Step 6: Final answer
    x = 194.29

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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.