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Finding the Fourth Proportional to 197.39, 295.93 and 136.35

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Solution

The fourth proportional to 197.39, 295.93 and 136.35 is: 204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.39 : 295.93 = 136.35 : x
  2. Step 2: Convert to fraction form
    197.39/295.93 = 136.35/x
  3. Step 3: Cross multiply
    197.39x = 295.93 × 136.35
  4. Step 4: Simplify right side
    197.39x = 40,350.06
  5. Step 5: Solve for x
    x = 40,350.06/197.39
  6. Step 6: Final answer
    x = 204.42

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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.