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Finding the Fourth Proportional to 197.77, 272.95 and 120.19

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Solution

The fourth proportional to 197.77, 272.95 and 120.19 is: 165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.77 : 272.95 = 120.19 : x
  2. Step 2: Convert to fraction form
    197.77/272.95 = 120.19/x
  3. Step 3: Cross multiply
    197.77x = 272.95 × 120.19
  4. Step 4: Simplify right side
    197.77x = 32,806.69
  5. Step 5: Solve for x
    x = 32,806.69/197.77
  6. Step 6: Final answer
    x = 165.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.