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Finding the Fourth Proportional to 378.27, 567.81 and 195.75

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Solution

The fourth proportional to 378.27, 567.81 and 195.75 is: 293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.27 : 567.81 = 195.75 : x
  2. Step 2: Convert to fraction form
    378.27/567.81 = 195.75/x
  3. Step 3: Cross multiply
    378.27x = 567.81 × 195.75
  4. Step 4: Simplify right side
    378.27x = 111,148.81
  5. Step 5: Solve for x
    x = 111,148.81/378.27
  6. Step 6: Final answer
    x = 293.83

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Why These Related Problems?

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