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Finding the Fourth Proportional to 166.33, 249.68 and 70.21

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Solution

The fourth proportional to 166.33, 249.68 and 70.21 is: 105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.33 : 249.68 = 70.21 : x
  2. Step 2: Convert to fraction form
    166.33/249.68 = 70.21/x
  3. Step 3: Cross multiply
    166.33x = 249.68 × 70.21
  4. Step 4: Simplify right side
    166.33x = 17,530.03
  5. Step 5: Solve for x
    x = 17,530.03/166.33
  6. Step 6: Final answer
    x = 105.39

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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.