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Finding the Fourth Proportional to 196.25, 294.31 and 74.48

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Solution

The fourth proportional to 196.25, 294.31 and 74.48 is: 111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.25 : 294.31 = 74.48 : x
  2. Step 2: Convert to fraction form
    196.25/294.31 = 74.48/x
  3. Step 3: Cross multiply
    196.25x = 294.31 × 74.48
  4. Step 4: Simplify right side
    196.25x = 21,920.21
  5. Step 5: Solve for x
    x = 21,920.21/196.25
  6. Step 6: Final answer
    x = 111.70

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