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Finding the Fourth Proportional to 197.14, 272.06 and 131.77

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Solution

The fourth proportional to 197.14, 272.06 and 131.77 is: 181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 272.06 = 131.77 : x
  2. Step 2: Convert to fraction form
    197.14/272.06 = 131.77/x
  3. Step 3: Cross multiply
    197.14x = 272.06 × 131.77
  4. Step 4: Simplify right side
    197.14x = 35,849.35
  5. Step 5: Solve for x
    x = 35,849.35/197.14
  6. Step 6: Final answer
    x = 181.85

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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.