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Finding the Fourth Proportional to 197.48, 295.97 and 182.09

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Solution

The fourth proportional to 197.48, 295.97 and 182.09 is: 272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.48 : 295.97 = 182.09 : x
  2. Step 2: Convert to fraction form
    197.48/295.97 = 182.09/x
  3. Step 3: Cross multiply
    197.48x = 295.97 × 182.09
  4. Step 4: Simplify right side
    197.48x = 53,893.01
  5. Step 5: Solve for x
    x = 53,893.01/197.48
  6. Step 6: Final answer
    x = 272.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.