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Finding the Fourth Proportional to 197.02, 295.68 and 81.52

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Solution

The fourth proportional to 197.02, 295.68 and 81.52 is: 122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 295.68 = 81.52 : x
  2. Step 2: Convert to fraction form
    197.02/295.68 = 81.52/x
  3. Step 3: Cross multiply
    197.02x = 295.68 × 81.52
  4. Step 4: Simplify right side
    197.02x = 24,103.83
  5. Step 5: Solve for x
    x = 24,103.83/197.02
  6. Step 6: Final answer
    x = 122.34

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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.