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Finding the Fourth Proportional to 196.73, 295.13 and 94.08

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Solution

The fourth proportional to 196.73, 295.13 and 94.08 is: 141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.73 : 295.13 = 94.08 : x
  2. Step 2: Convert to fraction form
    196.73/295.13 = 94.08/x
  3. Step 3: Cross multiply
    196.73x = 295.13 × 94.08
  4. Step 4: Simplify right side
    196.73x = 27,764.98
  5. Step 5: Solve for x
    x = 27,764.98/196.73
  6. Step 6: Final answer
    x = 141.13

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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.