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Finding the Fourth Proportional to 273.55, 377.15 and 194.96

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Solution

The fourth proportional to 273.55, 377.15 and 194.96 is: 268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.55 : 377.15 = 194.96 : x
  2. Step 2: Convert to fraction form
    273.55/377.15 = 194.96/x
  3. Step 3: Cross multiply
    273.55x = 377.15 × 194.96
  4. Step 4: Simplify right side
    273.55x = 73,526.79
  5. Step 5: Solve for x
    x = 73,526.79/273.55
  6. Step 6: Final answer
    x = 268.79

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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.