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Finding the Fourth Proportional to 197.64, 272.75 and 109.13

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Solution

The fourth proportional to 197.64, 272.75 and 109.13 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.64 : 272.75 = 109.13 : x
  2. Step 2: Convert to fraction form
    197.64/272.75 = 109.13/x
  3. Step 3: Cross multiply
    197.64x = 272.75 × 109.13
  4. Step 4: Simplify right side
    197.64x = 29,763.30
  5. Step 5: Solve for x
    x = 29,763.30/197.64
  6. Step 6: Final answer
    x = 150.59

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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.