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Finding the Fourth Proportional to 206.85, 309.97 and 166.35

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Solution

The fourth proportional to 206.85, 309.97 and 166.35 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 309.97 = 166.35 : x
  2. Step 2: Convert to fraction form
    206.85/309.97 = 166.35/x
  3. Step 3: Cross multiply
    206.85x = 309.97 × 166.35
  4. Step 4: Simplify right side
    206.85x = 51,563.51
  5. Step 5: Solve for x
    x = 51,563.51/206.85
  6. Step 6: Final answer
    x = 249.28

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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.