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Finding the Fourth Proportional to 197.21, 295.81 and 120.19

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Solution

The fourth proportional to 197.21, 295.81 and 120.19 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.21 : 295.81 = 120.19 : x
  2. Step 2: Convert to fraction form
    197.21/295.81 = 120.19/x
  3. Step 3: Cross multiply
    197.21x = 295.81 × 120.19
  4. Step 4: Simplify right side
    197.21x = 35,553.40
  5. Step 5: Solve for x
    x = 35,553.40/197.21
  6. Step 6: Final answer
    x = 180.28

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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.