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Finding the Fourth Proportional to 383.28, 574.80 and 166.80

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Solution

The fourth proportional to 383.28, 574.80 and 166.80 is: 250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.28 : 574.80 = 166.80 : x
  2. Step 2: Convert to fraction form
    383.28/574.80 = 166.80/x
  3. Step 3: Cross multiply
    383.28x = 574.80 × 166.80
  4. Step 4: Simplify right side
    383.28x = 95,876.64
  5. Step 5: Solve for x
    x = 95,876.64/383.28
  6. Step 6: Final answer
    x = 250.15

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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.