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Finding the Fourth Proportional to 197.72, 272.78 and 135.55

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Solution

The fourth proportional to 197.72, 272.78 and 135.55 is: 187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 272.78 = 135.55 : x
  2. Step 2: Convert to fraction form
    197.72/272.78 = 135.55/x
  3. Step 3: Cross multiply
    197.72x = 272.78 × 135.55
  4. Step 4: Simplify right side
    197.72x = 36,975.50
  5. Step 5: Solve for x
    x = 36,975.50/197.72
  6. Step 6: Final answer
    x = 187.01

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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.