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Finding the Fourth Proportional to 378.20, 567.34 and 104.29

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Solution

The fourth proportional to 378.20, 567.34 and 104.29 is: 156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 567.34 = 104.29 : x
  2. Step 2: Convert to fraction form
    378.20/567.34 = 104.29/x
  3. Step 3: Cross multiply
    378.20x = 567.34 × 104.29
  4. Step 4: Simplify right side
    378.20x = 59,166.21
  5. Step 5: Solve for x
    x = 59,166.21/378.20
  6. Step 6: Final answer
    x = 156.44

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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.