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Finding the Fourth Proportional to 378.20, 567.38 and 134.74

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Solution

The fourth proportional to 378.20, 567.38 and 134.74 is: 202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 567.38 = 134.74 : x
  2. Step 2: Convert to fraction form
    378.20/567.38 = 134.74/x
  3. Step 3: Cross multiply
    378.20x = 567.38 × 134.74
  4. Step 4: Simplify right side
    378.20x = 76,448.78
  5. Step 5: Solve for x
    x = 76,448.78/378.20
  6. Step 6: Final answer
    x = 202.14

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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.