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Finding the Fourth Proportional to 383.08, 574.44 and 166.54

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Solution

The fourth proportional to 383.08, 574.44 and 166.54 is: 249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.08 : 574.44 = 166.54 : x
  2. Step 2: Convert to fraction form
    383.08/574.44 = 166.54/x
  3. Step 3: Cross multiply
    383.08x = 574.44 × 166.54
  4. Step 4: Simplify right side
    383.08x = 95,667.24
  5. Step 5: Solve for x
    x = 95,667.24/383.08
  6. Step 6: Final answer
    x = 249.73

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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.