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Finding the Fourth Proportional to 378.08, 567.14 and 104.14

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Solution

The fourth proportional to 378.08, 567.14 and 104.14 is: 156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 567.14 = 104.14 : x
  2. Step 2: Convert to fraction form
    378.08/567.14 = 104.14/x
  3. Step 3: Cross multiply
    378.08x = 567.14 × 104.14
  4. Step 4: Simplify right side
    378.08x = 59,058.60
  5. Step 5: Solve for x
    x = 59,058.60/378.08
  6. Step 6: Final answer
    x = 156.21

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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.