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Finding the Fourth Proportional to 206.99, 310.64 and 166.49

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Solution

The fourth proportional to 206.99, 310.64 and 166.49 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.99 : 310.64 = 166.49 : x
  2. Step 2: Convert to fraction form
    206.99/310.64 = 166.49/x
  3. Step 3: Cross multiply
    206.99x = 310.64 × 166.49
  4. Step 4: Simplify right side
    206.99x = 51,718.45
  5. Step 5: Solve for x
    x = 51,718.45/206.99
  6. Step 6: Final answer
    x = 249.86

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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.