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Finding the Fourth Proportional to 194.96, 292.26 and 79.28

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Solution

The fourth proportional to 194.96, 292.26 and 79.28 is: 118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.96 : 292.26 = 79.28 : x
  2. Step 2: Convert to fraction form
    194.96/292.26 = 79.28/x
  3. Step 3: Cross multiply
    194.96x = 292.26 × 79.28
  4. Step 4: Simplify right side
    194.96x = 23,170.37
  5. Step 5: Solve for x
    x = 23,170.37/194.96
  6. Step 6: Final answer
    x = 118.85

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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.