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Finding the Fourth Proportional to 166.52, 249.69 and 70.25

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Solution

The fourth proportional to 166.52, 249.69 and 70.25 is: 105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 249.69 = 70.25 : x
  2. Step 2: Convert to fraction form
    166.52/249.69 = 70.25/x
  3. Step 3: Cross multiply
    166.52x = 249.69 × 70.25
  4. Step 4: Simplify right side
    166.52x = 17,540.72
  5. Step 5: Solve for x
    x = 17,540.72/166.52
  6. Step 6: Final answer
    x = 105.34

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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.