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Finding the Fourth Proportional to 383.97, 576 and 110.09

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Solution

The fourth proportional to 383.97, 576 and 110.09 is: 165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.97 : 576 = 110.09 : x
  2. Step 2: Convert to fraction form
    383.97/576 = 110.09/x
  3. Step 3: Cross multiply
    383.97x = 576 × 110.09
  4. Step 4: Simplify right side
    383.97x = 63,408.96
  5. Step 5: Solve for x
    x = 63,408.96/383.97
  6. Step 6: Final answer
    x = 165.14

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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.