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Finding the Fourth Proportional to 378.52, 567.77 and 104.65

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Solution

The fourth proportional to 378.52, 567.77 and 104.65 is: 156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.52 : 567.77 = 104.65 : x
  2. Step 2: Convert to fraction form
    378.52/567.77 = 104.65/x
  3. Step 3: Cross multiply
    378.52x = 567.77 × 104.65
  4. Step 4: Simplify right side
    378.52x = 59,414.29
  5. Step 5: Solve for x
    x = 59,414.29/378.52
  6. Step 6: Final answer
    x = 156.97

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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.