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Finding the Fourth Proportional to 293.87, 405.33 and 194.17

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Solution

The fourth proportional to 293.87, 405.33 and 194.17 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.87 : 405.33 = 194.17 : x
  2. Step 2: Convert to fraction form
    293.87/405.33 = 194.17/x
  3. Step 3: Cross multiply
    293.87x = 405.33 × 194.17
  4. Step 4: Simplify right side
    293.87x = 78,702.93
  5. Step 5: Solve for x
    x = 78,702.93/293.87
  6. Step 6: Final answer
    x = 267.82

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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.