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Finding the Fourth Proportional to 197.26, 297.43 and 194.98

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Solution

The fourth proportional to 197.26, 297.43 and 194.98 is: 293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.26 : 297.43 = 194.98 : x
  2. Step 2: Convert to fraction form
    197.26/297.43 = 194.98/x
  3. Step 3: Cross multiply
    197.26x = 297.43 × 194.98
  4. Step 4: Simplify right side
    197.26x = 57,992.90
  5. Step 5: Solve for x
    x = 57,992.90/197.26
  6. Step 6: Final answer
    x = 293.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.