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Finding the Fourth Proportional to 383.13, 574.69 and 109.22

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Solution

The fourth proportional to 383.13, 574.69 and 109.22 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.13 : 574.69 = 109.22 : x
  2. Step 2: Convert to fraction form
    383.13/574.69 = 109.22/x
  3. Step 3: Cross multiply
    383.13x = 574.69 × 109.22
  4. Step 4: Simplify right side
    383.13x = 62,765.93
  5. Step 5: Solve for x
    x = 62,765.93/383.13
  6. Step 6: Final answer
    x = 163.83

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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.