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Finding the Fourth Proportional to 197.08, 271.88 and 119.44

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Solution

The fourth proportional to 197.08, 271.88 and 119.44 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.08 : 271.88 = 119.44 : x
  2. Step 2: Convert to fraction form
    197.08/271.88 = 119.44/x
  3. Step 3: Cross multiply
    197.08x = 271.88 × 119.44
  4. Step 4: Simplify right side
    197.08x = 32,473.35
  5. Step 5: Solve for x
    x = 32,473.35/197.08
  6. Step 6: Final answer
    x = 164.77

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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.