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Finding the Fourth Proportional to 196.86, 295.44 and 136.14

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Solution

The fourth proportional to 196.86, 295.44 and 136.14 is: 204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.86 : 295.44 = 136.14 : x
  2. Step 2: Convert to fraction form
    196.86/295.44 = 136.14/x
  3. Step 3: Cross multiply
    196.86x = 295.44 × 136.14
  4. Step 4: Simplify right side
    196.86x = 40,221.20
  5. Step 5: Solve for x
    x = 40,221.20/196.86
  6. Step 6: Final answer
    x = 204.31

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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.