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Finding the Fourth Proportional to 197.37, 272.35 and 110.05

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Solution

The fourth proportional to 197.37, 272.35 and 110.05 is: 151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.37 : 272.35 = 110.05 : x
  2. Step 2: Convert to fraction form
    197.37/272.35 = 110.05/x
  3. Step 3: Cross multiply
    197.37x = 272.35 × 110.05
  4. Step 4: Simplify right side
    197.37x = 29,972.12
  5. Step 5: Solve for x
    x = 29,972.12/197.37
  6. Step 6: Final answer
    x = 151.86

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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.