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Finding the Fourth Proportional to 273.23, 376.96 and 166.85

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Solution

The fourth proportional to 273.23, 376.96 and 166.85 is: 230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.23 : 376.96 = 166.85 : x
  2. Step 2: Convert to fraction form
    273.23/376.96 = 166.85/x
  3. Step 3: Cross multiply
    273.23x = 376.96 × 166.85
  4. Step 4: Simplify right side
    273.23x = 62,894.47
  5. Step 5: Solve for x
    x = 62,894.47/273.23
  6. Step 6: Final answer
    x = 230.19

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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.