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Finding the Fourth Proportional to 197.84, 272.96 and 120.16

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Solution

The fourth proportional to 197.84, 272.96 and 120.16 is: 165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 272.96 = 120.16 : x
  2. Step 2: Convert to fraction form
    197.84/272.96 = 120.16/x
  3. Step 3: Cross multiply
    197.84x = 272.96 × 120.16
  4. Step 4: Simplify right side
    197.84x = 32,798.87
  5. Step 5: Solve for x
    x = 32,798.87/197.84
  6. Step 6: Final answer
    x = 165.78

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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.