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Finding the Fourth Proportional to 197.57, 272.55 and 135.35

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Solution

The fourth proportional to 197.57, 272.55 and 135.35 is: 186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.57 : 272.55 = 135.35 : x
  2. Step 2: Convert to fraction form
    197.57/272.55 = 135.35/x
  3. Step 3: Cross multiply
    197.57x = 272.55 × 135.35
  4. Step 4: Simplify right side
    197.57x = 36,889.64
  5. Step 5: Solve for x
    x = 36,889.64/197.57
  6. Step 6: Final answer
    x = 186.72

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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.