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Finding the Fourth Proportional to 197.72, 296.32 and 89.38

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Solution

The fourth proportional to 197.72, 296.32 and 89.38 is: 133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 296.32 = 89.38 : x
  2. Step 2: Convert to fraction form
    197.72/296.32 = 89.38/x
  3. Step 3: Cross multiply
    197.72x = 296.32 × 89.38
  4. Step 4: Simplify right side
    197.72x = 26,485.08
  5. Step 5: Solve for x
    x = 26,485.08/197.72
  6. Step 6: Final answer
    x = 133.95

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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.