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Finding the Fourth Proportional to 196.30, 294.28 and 104.91

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Solution

The fourth proportional to 196.30, 294.28 and 104.91 is: 157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.30 : 294.28 = 104.91 : x
  2. Step 2: Convert to fraction form
    196.30/294.28 = 104.91/x
  3. Step 3: Cross multiply
    196.30x = 294.28 × 104.91
  4. Step 4: Simplify right side
    196.30x = 30,872.39
  5. Step 5: Solve for x
    x = 30,872.39/196.30
  6. Step 6: Final answer
    x = 157.27

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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.