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Finding the Fourth Proportional to 194.21, 291.35 and 72.55

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Solution

The fourth proportional to 194.21, 291.35 and 72.55 is: 108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.21 : 291.35 = 72.55 : x
  2. Step 2: Convert to fraction form
    194.21/291.35 = 72.55/x
  3. Step 3: Cross multiply
    194.21x = 291.35 × 72.55
  4. Step 4: Simplify right side
    194.21x = 21,137.44
  5. Step 5: Solve for x
    x = 21,137.44/194.21
  6. Step 6: Final answer
    x = 108.84

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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.