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Finding the Fourth Proportional to 197.29, 296.36 and 120.29

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Solution

The fourth proportional to 197.29, 296.36 and 120.29 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.29 : 296.36 = 120.29 : x
  2. Step 2: Convert to fraction form
    197.29/296.36 = 120.29/x
  3. Step 3: Cross multiply
    197.29x = 296.36 × 120.29
  4. Step 4: Simplify right side
    197.29x = 35,649.94
  5. Step 5: Solve for x
    x = 35,649.94/197.29
  6. Step 6: Final answer
    x = 180.70

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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.