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Finding the Fourth Proportional to 383.04, 574.16 and 166.56

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Solution

The fourth proportional to 383.04, 574.16 and 166.56 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.04 : 574.16 = 166.56 : x
  2. Step 2: Convert to fraction form
    383.04/574.16 = 166.56/x
  3. Step 3: Cross multiply
    383.04x = 574.16 × 166.56
  4. Step 4: Simplify right side
    383.04x = 95,632.09
  5. Step 5: Solve for x
    x = 95,632.09/383.04
  6. Step 6: Final answer
    x = 249.67

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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.