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Finding the Fourth Proportional to 197.57, 272.64 and 109.05

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Solution

The fourth proportional to 197.57, 272.64 and 109.05 is: 150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.57 : 272.64 = 109.05 : x
  2. Step 2: Convert to fraction form
    197.57/272.64 = 109.05/x
  3. Step 3: Cross multiply
    197.57x = 272.64 × 109.05
  4. Step 4: Simplify right side
    197.57x = 29,731.39
  5. Step 5: Solve for x
    x = 29,731.39/197.57
  6. Step 6: Final answer
    x = 150.49

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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.