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Finding the Fourth Proportional to 378.76, 567.33 and 195.76

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Solution

The fourth proportional to 378.76, 567.33 and 195.76 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.76 : 567.33 = 195.76 : x
  2. Step 2: Convert to fraction form
    378.76/567.33 = 195.76/x
  3. Step 3: Cross multiply
    378.76x = 567.33 × 195.76
  4. Step 4: Simplify right side
    378.76x = 111,060.52
  5. Step 5: Solve for x
    x = 111,060.52/378.76
  6. Step 6: Final answer
    x = 293.22

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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.