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Finding the Fourth Proportional to 197.22, 272.54 and 142.14

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Solution

The fourth proportional to 197.22, 272.54 and 142.14 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.22 : 272.54 = 142.14 : x
  2. Step 2: Convert to fraction form
    197.22/272.54 = 142.14/x
  3. Step 3: Cross multiply
    197.22x = 272.54 × 142.14
  4. Step 4: Simplify right side
    197.22x = 38,738.84
  5. Step 5: Solve for x
    x = 38,738.84/197.22
  6. Step 6: Final answer
    x = 196.42

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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.