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Finding the Fourth Proportional to 197.53, 296.13 and 106.33

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Solution

The fourth proportional to 197.53, 296.13 and 106.33 is: 159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.53 : 296.13 = 106.33 : x
  2. Step 2: Convert to fraction form
    197.53/296.13 = 106.33/x
  3. Step 3: Cross multiply
    197.53x = 296.13 × 106.33
  4. Step 4: Simplify right side
    197.53x = 31,487.50
  5. Step 5: Solve for x
    x = 31,487.50/197.53
  6. Step 6: Final answer
    x = 159.41

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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.