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Finding the Fourth Proportional to 197.68, 296.55 and 89.44

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Solution

The fourth proportional to 197.68, 296.55 and 89.44 is: 134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.68 : 296.55 = 89.44 : x
  2. Step 2: Convert to fraction form
    197.68/296.55 = 89.44/x
  3. Step 3: Cross multiply
    197.68x = 296.55 × 89.44
  4. Step 4: Simplify right side
    197.68x = 26,523.43
  5. Step 5: Solve for x
    x = 26,523.43/197.68
  6. Step 6: Final answer
    x = 134.17

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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.