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Finding the Fourth Proportional to 196.78, 295.04 and 74.97

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Solution

The fourth proportional to 196.78, 295.04 and 74.97 is: 112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 295.04 = 74.97 : x
  2. Step 2: Convert to fraction form
    196.78/295.04 = 74.97/x
  3. Step 3: Cross multiply
    196.78x = 295.04 × 74.97
  4. Step 4: Simplify right side
    196.78x = 22,118.77
  5. Step 5: Solve for x
    x = 22,118.77/196.78
  6. Step 6: Final answer
    x = 112.41

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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.