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Finding the Fourth Proportional to 197.05, 295.47 and 81.47

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Solution

The fourth proportional to 197.05, 295.47 and 81.47 is: 122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.05 : 295.47 = 81.47 : x
  2. Step 2: Convert to fraction form
    197.05/295.47 = 81.47/x
  3. Step 3: Cross multiply
    197.05x = 295.47 × 81.47
  4. Step 4: Simplify right side
    197.05x = 24,072.13
  5. Step 5: Solve for x
    x = 24,072.13/197.05
  6. Step 6: Final answer
    x = 122.16

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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.