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Finding the Fourth Proportional to 382.19, 573.24 and 165.59

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Solution

The fourth proportional to 382.19, 573.24 and 165.59 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.19 : 573.24 = 165.59 : x
  2. Step 2: Convert to fraction form
    382.19/573.24 = 165.59/x
  3. Step 3: Cross multiply
    382.19x = 573.24 × 165.59
  4. Step 4: Simplify right side
    382.19x = 94,922.81
  5. Step 5: Solve for x
    x = 94,922.81/382.19
  6. Step 6: Final answer
    x = 248.37

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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.