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Finding the Fourth Proportional to 197.70, 296.56 and 89.37

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Solution

The fourth proportional to 197.70, 296.56 and 89.37 is: 134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.70 : 296.56 = 89.37 : x
  2. Step 2: Convert to fraction form
    197.70/296.56 = 89.37/x
  3. Step 3: Cross multiply
    197.70x = 296.56 × 89.37
  4. Step 4: Simplify right side
    197.70x = 26,503.57
  5. Step 5: Solve for x
    x = 26,503.57/197.70
  6. Step 6: Final answer
    x = 134.06

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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.