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Finding the Fourth Proportional to 293.94, 405.97 and 195.52

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Solution

The fourth proportional to 293.94, 405.97 and 195.52 is: 270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.94 : 405.97 = 195.52 : x
  2. Step 2: Convert to fraction form
    293.94/405.97 = 195.52/x
  3. Step 3: Cross multiply
    293.94x = 405.97 × 195.52
  4. Step 4: Simplify right side
    293.94x = 79,375.25
  5. Step 5: Solve for x
    x = 79,375.25/293.94
  6. Step 6: Final answer
    x = 270.04

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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.