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Finding the Fourth Proportional to 196.79, 295.44 and 136.31

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Solution

The fourth proportional to 196.79, 295.44 and 136.31 is: 204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.79 : 295.44 = 136.31 : x
  2. Step 2: Convert to fraction form
    196.79/295.44 = 136.31/x
  3. Step 3: Cross multiply
    196.79x = 295.44 × 136.31
  4. Step 4: Simplify right side
    196.79x = 40,269.95
  5. Step 5: Solve for x
    x = 40,269.95/196.79
  6. Step 6: Final answer
    x = 204.64

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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.