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Finding the Fourth Proportional to 378.16, 567.31 and 134.62

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Solution

The fourth proportional to 378.16, 567.31 and 134.62 is: 201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.16 : 567.31 = 134.62 : x
  2. Step 2: Convert to fraction form
    378.16/567.31 = 134.62/x
  3. Step 3: Cross multiply
    378.16x = 567.31 × 134.62
  4. Step 4: Simplify right side
    378.16x = 76,371.27
  5. Step 5: Solve for x
    x = 76,371.27/378.16
  6. Step 6: Final answer
    x = 201.95

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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.