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Finding the Fourth Proportional to 197.24, 272.36 and 135.05

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Solution

The fourth proportional to 197.24, 272.36 and 135.05 is: 186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.24 : 272.36 = 135.05 : x
  2. Step 2: Convert to fraction form
    197.24/272.36 = 135.05/x
  3. Step 3: Cross multiply
    197.24x = 272.36 × 135.05
  4. Step 4: Simplify right side
    197.24x = 36,780.18
  5. Step 5: Solve for x
    x = 36,780.18/197.24
  6. Step 6: Final answer
    x = 186.48

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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.