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Finding the Fourth Proportional to 194.17, 291.29 and 85.96

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Solution

The fourth proportional to 194.17, 291.29 and 85.96 is: 128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.17 : 291.29 = 85.96 : x
  2. Step 2: Convert to fraction form
    194.17/291.29 = 85.96/x
  3. Step 3: Cross multiply
    194.17x = 291.29 × 85.96
  4. Step 4: Simplify right side
    194.17x = 25,037.40
  5. Step 5: Solve for x
    x = 25,037.40/194.17
  6. Step 6: Final answer
    x = 128.95

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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.