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Finding the Fourth Proportional to 194.65, 292.08 and 112.39

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Solution

The fourth proportional to 194.65, 292.08 and 112.39 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.65 : 292.08 = 112.39 : x
  2. Step 2: Convert to fraction form
    194.65/292.08 = 112.39/x
  3. Step 3: Cross multiply
    194.65x = 292.08 × 112.39
  4. Step 4: Simplify right side
    194.65x = 32,826.25
  5. Step 5: Solve for x
    x = 32,826.25/194.65
  6. Step 6: Final answer
    x = 168.64

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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.