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Finding the Fourth Proportional to 196.22, 293.92 and 93.59

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Solution

The fourth proportional to 196.22, 293.92 and 93.59 is: 140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.22 : 293.92 = 93.59 : x
  2. Step 2: Convert to fraction form
    196.22/293.92 = 93.59/x
  3. Step 3: Cross multiply
    196.22x = 293.92 × 93.59
  4. Step 4: Simplify right side
    196.22x = 27,507.97
  5. Step 5: Solve for x
    x = 27,507.97/196.22
  6. Step 6: Final answer
    x = 140.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.