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Finding the Fourth Proportional to 381.57, 572.21 and 165

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Solution

The fourth proportional to 381.57, 572.21 and 165 is: 247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.57 : 572.21 = 165 : x
  2. Step 2: Convert to fraction form
    381.57/572.21 = 165/x
  3. Step 3: Cross multiply
    381.57x = 572.21 × 165
  4. Step 4: Simplify right side
    381.57x = 94,413.83
  5. Step 5: Solve for x
    x = 94,413.83/381.57
  6. Step 6: Final answer
    x = 247.44

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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.