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Finding the Fourth Proportional to 385.88, 578.86 and 169.60

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Solution

The fourth proportional to 385.88, 578.86 and 169.60 is: 254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.88 : 578.86 = 169.60 : x
  2. Step 2: Convert to fraction form
    385.88/578.86 = 169.60/x
  3. Step 3: Cross multiply
    385.88x = 578.86 × 169.60
  4. Step 4: Simplify right side
    385.88x = 98,174.66
  5. Step 5: Solve for x
    x = 98,174.66/385.88
  6. Step 6: Final answer
    x = 254.42

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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.