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Finding the Fourth Proportional to 197.17, 295.83 and 120.19

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Solution

The fourth proportional to 197.17, 295.83 and 120.19 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.17 : 295.83 = 120.19 : x
  2. Step 2: Convert to fraction form
    197.17/295.83 = 120.19/x
  3. Step 3: Cross multiply
    197.17x = 295.83 × 120.19
  4. Step 4: Simplify right side
    197.17x = 35,555.81
  5. Step 5: Solve for x
    x = 35,555.81/197.17
  6. Step 6: Final answer
    x = 180.33

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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.