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Finding the Fourth Proportional to 196.62, 295.01 and 104.05

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Solution

The fourth proportional to 196.62, 295.01 and 104.05 is: 156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.62 : 295.01 = 104.05 : x
  2. Step 2: Convert to fraction form
    196.62/295.01 = 104.05/x
  3. Step 3: Cross multiply
    196.62x = 295.01 × 104.05
  4. Step 4: Simplify right side
    196.62x = 30,695.56
  5. Step 5: Solve for x
    x = 30,695.56/196.62
  6. Step 6: Final answer
    x = 156.12

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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.