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Finding the Fourth Proportional to 378.41, 567.20 and 134.60

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Solution

The fourth proportional to 378.41, 567.20 and 134.60 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.41 : 567.20 = 134.60 : x
  2. Step 2: Convert to fraction form
    378.41/567.20 = 134.60/x
  3. Step 3: Cross multiply
    378.41x = 567.20 × 134.60
  4. Step 4: Simplify right side
    378.41x = 76,342.62
  5. Step 5: Solve for x
    x = 76,342.62/378.41
  6. Step 6: Final answer
    x = 201.75

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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.