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Finding the Fourth Proportional to 378.49, 567.20 and 195.67

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Solution

The fourth proportional to 378.49, 567.20 and 195.67 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.49 : 567.20 = 195.67 : x
  2. Step 2: Convert to fraction form
    378.49/567.20 = 195.67/x
  3. Step 3: Cross multiply
    378.49x = 567.20 × 195.67
  4. Step 4: Simplify right side
    378.49x = 110,982.03
  5. Step 5: Solve for x
    x = 110,982.03/378.49
  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.