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Finding the Fourth Proportional to 194.69, 292.08 and 71.27

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Solution

The fourth proportional to 194.69, 292.08 and 71.27 is: 106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 292.08 = 71.27 : x
  2. Step 2: Convert to fraction form
    194.69/292.08 = 71.27/x
  3. Step 3: Cross multiply
    194.69x = 292.08 × 71.27
  4. Step 4: Simplify right side
    194.69x = 20,815.08
  5. Step 5: Solve for x
    x = 20,815.08/194.69
  6. Step 6: Final answer
    x = 106.92

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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.