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Finding the Fourth Proportional to 382.61, 573.44 and 165.94

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Solution

The fourth proportional to 382.61, 573.44 and 165.94 is: 248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.61 : 573.44 = 165.94 : x
  2. Step 2: Convert to fraction form
    382.61/573.44 = 165.94/x
  3. Step 3: Cross multiply
    382.61x = 573.44 × 165.94
  4. Step 4: Simplify right side
    382.61x = 95,152.94
  5. Step 5: Solve for x
    x = 95,152.94/382.61
  6. Step 6: Final answer
    x = 248.69

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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.