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Finding the Fourth Proportional to 166.97, 250.16 and 138.02

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Solution

The fourth proportional to 166.97, 250.16 and 138.02 is: 206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.97 : 250.16 = 138.02 : x
  2. Step 2: Convert to fraction form
    166.97/250.16 = 138.02/x
  3. Step 3: Cross multiply
    166.97x = 250.16 × 138.02
  4. Step 4: Simplify right side
    166.97x = 34,525.14
  5. Step 5: Solve for x
    x = 34,525.14/166.97
  6. Step 6: Final answer
    x = 206.77

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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.