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Finding the Fourth Proportional to 166.52, 249.87 and 166.01

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Solution

The fourth proportional to 166.52, 249.87 and 166.01 is: 249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 249.87 = 166.01 : x
  2. Step 2: Convert to fraction form
    166.52/249.87 = 166.01/x
  3. Step 3: Cross multiply
    166.52x = 249.87 × 166.01
  4. Step 4: Simplify right side
    166.52x = 41,480.92
  5. Step 5: Solve for x
    x = 41,480.92/166.52
  6. Step 6: Final answer
    x = 249.10

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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.