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Finding the Fourth Proportional to 339.87, 509.63 and 166.27

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Solution

The fourth proportional to 339.87, 509.63 and 166.27 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.87 : 509.63 = 166.27 : x
  2. Step 2: Convert to fraction form
    339.87/509.63 = 166.27/x
  3. Step 3: Cross multiply
    339.87x = 509.63 × 166.27
  4. Step 4: Simplify right side
    339.87x = 84,737.88
  5. Step 5: Solve for x
    x = 84,737.88/339.87
  6. Step 6: Final answer
    x = 249.33

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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.