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Finding the Fourth Proportional to 195.41, 293.16 and 108.70

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Solution

The fourth proportional to 195.41, 293.16 and 108.70 is: 163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.41 : 293.16 = 108.70 : x
  2. Step 2: Convert to fraction form
    195.41/293.16 = 108.70/x
  3. Step 3: Cross multiply
    195.41x = 293.16 × 108.70
  4. Step 4: Simplify right side
    195.41x = 31,866.49
  5. Step 5: Solve for x
    x = 31,866.49/195.41
  6. Step 6: Final answer
    x = 163.08

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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.