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Finding the Fourth Proportional to 197.09, 295.45 and 68.75

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Solution

The fourth proportional to 197.09, 295.45 and 68.75 is: 103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.09 : 295.45 = 68.75 : x
  2. Step 2: Convert to fraction form
    197.09/295.45 = 68.75/x
  3. Step 3: Cross multiply
    197.09x = 295.45 × 68.75
  4. Step 4: Simplify right side
    197.09x = 20,312.19
  5. Step 5: Solve for x
    x = 20,312.19/197.09
  6. Step 6: Final answer
    x = 103.06

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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.