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Finding the Fourth Proportional to 378.41, 567.33 and 195.69

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Solution

The fourth proportional to 378.41, 567.33 and 195.69 is: 293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.41 : 567.33 = 195.69 : x
  2. Step 2: Convert to fraction form
    378.41/567.33 = 195.69/x
  3. Step 3: Cross multiply
    378.41x = 567.33 × 195.69
  4. Step 4: Simplify right side
    378.41x = 111,019.38
  5. Step 5: Solve for x
    x = 111,019.38/378.41
  6. Step 6: Final answer
    x = 293.38

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