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Finding the Fourth Proportional to 383.33, 574.91 and 166.94

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Solution

The fourth proportional to 383.33, 574.91 and 166.94 is: 250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.33 : 574.91 = 166.94 : x
  2. Step 2: Convert to fraction form
    383.33/574.91 = 166.94/x
  3. Step 3: Cross multiply
    383.33x = 574.91 × 166.94
  4. Step 4: Simplify right side
    383.33x = 95,975.48
  5. Step 5: Solve for x
    x = 95,975.48/383.33
  6. Step 6: Final answer
    x = 250.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.