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Finding the Fourth Proportional to 273.72, 377.85 and 195.05

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Solution

The fourth proportional to 273.72, 377.85 and 195.05 is: 269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.72 : 377.85 = 195.05 : x
  2. Step 2: Convert to fraction form
    273.72/377.85 = 195.05/x
  3. Step 3: Cross multiply
    273.72x = 377.85 × 195.05
  4. Step 4: Simplify right side
    273.72x = 73,701.32
  5. Step 5: Solve for x
    x = 73,701.32/273.72
  6. Step 6: Final answer
    x = 269.25

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