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Finding the Fourth Proportional to 378.28, 567.26 and 134.68

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Solution

The fourth proportional to 378.28, 567.26 and 134.68 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.28 : 567.26 = 134.68 : x
  2. Step 2: Convert to fraction form
    378.28/567.26 = 134.68/x
  3. Step 3: Cross multiply
    378.28x = 567.26 × 134.68
  4. Step 4: Simplify right side
    378.28x = 76,398.58
  5. Step 5: Solve for x
    x = 76,398.58/378.28
  6. Step 6: Final answer
    x = 201.96

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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.