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Finding the Fourth Proportional to 273.09, 376.68 and 194.40

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Solution

The fourth proportional to 273.09, 376.68 and 194.40 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.09 : 376.68 = 194.40 : x
  2. Step 2: Convert to fraction form
    273.09/376.68 = 194.40/x
  3. Step 3: Cross multiply
    273.09x = 376.68 × 194.40
  4. Step 4: Simplify right side
    273.09x = 73,226.59
  5. Step 5: Solve for x
    x = 73,226.59/273.09
  6. Step 6: Final answer
    x = 268.14

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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.