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Finding the Fourth Proportional to 194.24, 291.84 and 173.44

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Solution

The fourth proportional to 194.24, 291.84 and 173.44 is: 260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.24 : 291.84 = 173.44 : x
  2. Step 2: Convert to fraction form
    194.24/291.84 = 173.44/x
  3. Step 3: Cross multiply
    194.24x = 291.84 × 173.44
  4. Step 4: Simplify right side
    194.24x = 50,616.73
  5. Step 5: Solve for x
    x = 50,616.73/194.24
  6. Step 6: Final answer
    x = 260.59

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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.