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Finding the Fourth Proportional to 378.23, 567.27 and 104.25

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Solution

The fourth proportional to 378.23, 567.27 and 104.25 is: 156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.23 : 567.27 = 104.25 : x
  2. Step 2: Convert to fraction form
    378.23/567.27 = 104.25/x
  3. Step 3: Cross multiply
    378.23x = 567.27 × 104.25
  4. Step 4: Simplify right side
    378.23x = 59,140.02
  5. Step 5: Solve for x
    x = 59,140.02/378.23
  6. Step 6: Final answer
    x = 156.36

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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.