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Finding the Fourth Proportional to 385.38, 578.15 and 111.48

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Solution

The fourth proportional to 385.38, 578.15 and 111.48 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.38 : 578.15 = 111.48 : x
  2. Step 2: Convert to fraction form
    385.38/578.15 = 111.48/x
  3. Step 3: Cross multiply
    385.38x = 578.15 × 111.48
  4. Step 4: Simplify right side
    385.38x = 64,453.73
  5. Step 5: Solve for x
    x = 64,453.73/385.38
  6. Step 6: Final answer
    x = 167.25

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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.