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Finding the Fourth Proportional to 197.96, 296.93 and 89.62

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Solution

The fourth proportional to 197.96, 296.93 and 89.62 is: 134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.96 : 296.93 = 89.62 : x
  2. Step 2: Convert to fraction form
    197.96/296.93 = 89.62/x
  3. Step 3: Cross multiply
    197.96x = 296.93 × 89.62
  4. Step 4: Simplify right side
    197.96x = 26,610.87
  5. Step 5: Solve for x
    x = 26,610.87/197.96
  6. Step 6: Final answer
    x = 134.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.