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Finding the Fourth Proportional to 383.26, 574.98 and 166.98

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Solution

The fourth proportional to 383.26, 574.98 and 166.98 is: 250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.26 : 574.98 = 166.98 : x
  2. Step 2: Convert to fraction form
    383.26/574.98 = 166.98/x
  3. Step 3: Cross multiply
    383.26x = 574.98 × 166.98
  4. Step 4: Simplify right side
    383.26x = 96,010.16
  5. Step 5: Solve for x
    x = 96,010.16/383.26
  6. Step 6: Final answer
    x = 250.51

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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.