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Finding the Fourth Proportional to 196.38, 294.63 and 74.68

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Solution

The fourth proportional to 196.38, 294.63 and 74.68 is: 112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.38 : 294.63 = 74.68 : x
  2. Step 2: Convert to fraction form
    196.38/294.63 = 74.68/x
  3. Step 3: Cross multiply
    196.38x = 294.63 × 74.68
  4. Step 4: Simplify right side
    196.38x = 22,002.99
  5. Step 5: Solve for x
    x = 22,002.99/196.38
  6. Step 6: Final answer
    x = 112.04

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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.