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Finding the Fourth Proportional to 196.26, 295.92 and 193.98

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Solution

The fourth proportional to 196.26, 295.92 and 193.98 is: 292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.26 : 295.92 = 193.98 : x
  2. Step 2: Convert to fraction form
    196.26/295.92 = 193.98/x
  3. Step 3: Cross multiply
    196.26x = 295.92 × 193.98
  4. Step 4: Simplify right side
    196.26x = 57,402.56
  5. Step 5: Solve for x
    x = 57,402.56/196.26
  6. Step 6: Final answer
    x = 292.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.