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Finding the Fourth Proportional to 339.71, 509.85 and 166.50

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Solution

The fourth proportional to 339.71, 509.85 and 166.50 is: 249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.71 : 509.85 = 166.50 : x
  2. Step 2: Convert to fraction form
    339.71/509.85 = 166.50/x
  3. Step 3: Cross multiply
    339.71x = 509.85 × 166.50
  4. Step 4: Simplify right side
    339.71x = 84,890.03
  5. Step 5: Solve for x
    x = 84,890.03/339.71
  6. Step 6: Final answer
    x = 249.89

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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.