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Finding the Fourth Proportional to 197.58, 272.65 and 109.06

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Solution

The fourth proportional to 197.58, 272.65 and 109.06 is: 150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.58 : 272.65 = 109.06 : x
  2. Step 2: Convert to fraction form
    197.58/272.65 = 109.06/x
  3. Step 3: Cross multiply
    197.58x = 272.65 × 109.06
  4. Step 4: Simplify right side
    197.58x = 29,735.21
  5. Step 5: Solve for x
    x = 29,735.21/197.58
  6. Step 6: Final answer
    x = 150.50

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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.