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Finding the Fourth Proportional to 206.67, 310.19 and 166.35

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Solution

The fourth proportional to 206.67, 310.19 and 166.35 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.67 : 310.19 = 166.35 : x
  2. Step 2: Convert to fraction form
    206.67/310.19 = 166.35/x
  3. Step 3: Cross multiply
    206.67x = 310.19 × 166.35
  4. Step 4: Simplify right side
    206.67x = 51,600.11
  5. Step 5: Solve for x
    x = 51,600.11/206.67
  6. Step 6: Final answer
    x = 249.67

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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.