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Finding the Fourth Proportional to 385.96, 578.96 and 169.54

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Solution

The fourth proportional to 385.96, 578.96 and 169.54 is: 254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.96 : 578.96 = 169.54 : x
  2. Step 2: Convert to fraction form
    385.96/578.96 = 169.54/x
  3. Step 3: Cross multiply
    385.96x = 578.96 × 169.54
  4. Step 4: Simplify right side
    385.96x = 98,156.88
  5. Step 5: Solve for x
    x = 98,156.88/385.96
  6. Step 6: Final answer
    x = 254.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.