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Finding the Fourth Proportional to 339.97, 509.77 and 166.64

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Solution

The fourth proportional to 339.97, 509.77 and 166.64 is: 249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.97 : 509.77 = 166.64 : x
  2. Step 2: Convert to fraction form
    339.97/509.77 = 166.64/x
  3. Step 3: Cross multiply
    339.97x = 509.77 × 166.64
  4. Step 4: Simplify right side
    339.97x = 84,948.07
  5. Step 5: Solve for x
    x = 84,948.07/339.97
  6. Step 6: Final answer
    x = 249.87

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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.