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Finding the Fourth Proportional to 194.68, 292.07 and 112.47

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Solution

The fourth proportional to 194.68, 292.07 and 112.47 is: 168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.68 : 292.07 = 112.47 : x
  2. Step 2: Convert to fraction form
    194.68/292.07 = 112.47/x
  3. Step 3: Cross multiply
    194.68x = 292.07 × 112.47
  4. Step 4: Simplify right side
    194.68x = 32,849.11
  5. Step 5: Solve for x
    x = 32,849.11/194.68
  6. Step 6: Final answer
    x = 168.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.