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Finding the Fourth Proportional to 293.68, 405.15 and 194.23

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Solution

The fourth proportional to 293.68, 405.15 and 194.23 is: 267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.68 : 405.15 = 194.23 : x
  2. Step 2: Convert to fraction form
    293.68/405.15 = 194.23/x
  3. Step 3: Cross multiply
    293.68x = 405.15 × 194.23
  4. Step 4: Simplify right side
    293.68x = 78,691.27
  5. Step 5: Solve for x
    x = 78,691.27/293.68
  6. Step 6: Final answer
    x = 267.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.