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Finding the Fourth Proportional to 197.36, 272.35 and 108.84

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Solution

The fourth proportional to 197.36, 272.35 and 108.84 is: 150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.36 : 272.35 = 108.84 : x
  2. Step 2: Convert to fraction form
    197.36/272.35 = 108.84/x
  3. Step 3: Cross multiply
    197.36x = 272.35 × 108.84
  4. Step 4: Simplify right side
    197.36x = 29,640.94
  5. Step 5: Solve for x
    x = 29,640.94/197.36
  6. Step 6: Final answer
    x = 150.19

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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.