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Finding the Fourth Proportional to 378.24, 567.34 and 134.75

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Solution

The fourth proportional to 378.24, 567.34 and 134.75 is: 202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 567.34 = 134.75 : x
  2. Step 2: Convert to fraction form
    378.24/567.34 = 134.75/x
  3. Step 3: Cross multiply
    378.24x = 567.34 × 134.75
  4. Step 4: Simplify right side
    378.24x = 76,450.15
  5. Step 5: Solve for x
    x = 76,450.15/378.24
  6. Step 6: Final answer
    x = 202.12

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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.