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Finding the Fourth Proportional to 166.49, 249.71 and 50.95

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Solution

The fourth proportional to 166.49, 249.71 and 50.95 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.49 : 249.71 = 50.95 : x
  2. Step 2: Convert to fraction form
    166.49/249.71 = 50.95/x
  3. Step 3: Cross multiply
    166.49x = 249.71 × 50.95
  4. Step 4: Simplify right side
    166.49x = 12,722.72
  5. Step 5: Solve for x
    x = 12,722.72/166.49
  6. Step 6: Final answer
    x = 76.42

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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.