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Finding the Fourth Proportional to 166.69, 249.90 and 85.30

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Solution

The fourth proportional to 166.69, 249.90 and 85.30 is: 127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.69 : 249.90 = 85.30 : x
  2. Step 2: Convert to fraction form
    166.69/249.90 = 85.30/x
  3. Step 3: Cross multiply
    166.69x = 249.90 × 85.30
  4. Step 4: Simplify right side
    166.69x = 21,316.47
  5. Step 5: Solve for x
    x = 21,316.47/166.69
  6. Step 6: Final answer
    x = 127.88

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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.