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Finding the Fourth Proportional to 197.18, 295.80 and 67.21

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Solution

The fourth proportional to 197.18, 295.80 and 67.21 is: 100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.18 : 295.80 = 67.21 : x
  2. Step 2: Convert to fraction form
    197.18/295.80 = 67.21/x
  3. Step 3: Cross multiply
    197.18x = 295.80 × 67.21
  4. Step 4: Simplify right side
    197.18x = 19,878.90
  5. Step 5: Solve for x
    x = 19,878.90/197.18
  6. Step 6: Final answer
    x = 100.82

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