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Finding the Fourth Proportional to 197.82, 272.19 and 193.02

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Solution

The fourth proportional to 197.82, 272.19 and 193.02 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 272.19 = 193.02 : x
  2. Step 2: Convert to fraction form
    197.82/272.19 = 193.02/x
  3. Step 3: Cross multiply
    197.82x = 272.19 × 193.02
  4. Step 4: Simplify right side
    197.82x = 52,538.11
  5. Step 5: Solve for x
    x = 52,538.11/197.82
  6. Step 6: Final answer
    x = 265.59

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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.