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Finding the Fourth Proportional to 166.35, 249.30 and 84.99

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Solution

The fourth proportional to 166.35, 249.30 and 84.99 is: 127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.35 : 249.30 = 84.99 : x
  2. Step 2: Convert to fraction form
    166.35/249.30 = 84.99/x
  3. Step 3: Cross multiply
    166.35x = 249.30 × 84.99
  4. Step 4: Simplify right side
    166.35x = 21,188.01
  5. Step 5: Solve for x
    x = 21,188.01/166.35
  6. Step 6: Final answer
    x = 127.37

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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.