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Finding the Fourth Proportional to 197.82, 272.65 and 135.54

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Solution

The fourth proportional to 197.82, 272.65 and 135.54 is: 186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 272.65 = 135.54 : x
  2. Step 2: Convert to fraction form
    197.82/272.65 = 135.54/x
  3. Step 3: Cross multiply
    197.82x = 272.65 × 135.54
  4. Step 4: Simplify right side
    197.82x = 36,953.87
  5. Step 5: Solve for x
    x = 36,953.87/197.82
  6. Step 6: Final answer
    x = 186.81

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