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Finding the Fourth Proportional to 293.93, 405.97 and 195.52

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Solution

The fourth proportional to 293.93, 405.97 and 195.52 is: 270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.93 : 405.97 = 195.52 : x
  2. Step 2: Convert to fraction form
    293.93/405.97 = 195.52/x
  3. Step 3: Cross multiply
    293.93x = 405.97 × 195.52
  4. Step 4: Simplify right side
    293.93x = 79,375.25
  5. Step 5: Solve for x
    x = 79,375.25/293.93
  6. Step 6: Final answer
    x = 270.05

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