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Finding the Fourth Proportional to 273.08, 376.69 and 166.70

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Solution

The fourth proportional to 273.08, 376.69 and 166.70 is: 229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.08 : 376.69 = 166.70 : x
  2. Step 2: Convert to fraction form
    273.08/376.69 = 166.70/x
  3. Step 3: Cross multiply
    273.08x = 376.69 × 166.70
  4. Step 4: Simplify right side
    273.08x = 62,794.22
  5. Step 5: Solve for x
    x = 62,794.22/273.08
  6. Step 6: Final answer
    x = 229.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.