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Finding the Fourth Proportional to 273.77, 377.51 and 195.09

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Solution

The fourth proportional to 273.77, 377.51 and 195.09 is: 269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.77 : 377.51 = 195.09 : x
  2. Step 2: Convert to fraction form
    273.77/377.51 = 195.09/x
  3. Step 3: Cross multiply
    273.77x = 377.51 × 195.09
  4. Step 4: Simplify right side
    273.77x = 73,647.45
  5. Step 5: Solve for x
    x = 73,647.45/273.77
  6. Step 6: Final answer
    x = 269.02

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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.