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Finding the Fourth Proportional to 273.67, 377.96 and 186.19

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Solution

The fourth proportional to 273.67, 377.96 and 186.19 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.67 : 377.96 = 186.19 : x
  2. Step 2: Convert to fraction form
    273.67/377.96 = 186.19/x
  3. Step 3: Cross multiply
    273.67x = 377.96 × 186.19
  4. Step 4: Simplify right side
    273.67x = 70,370.50
  5. Step 5: Solve for x
    x = 70,370.50/273.67
  6. Step 6: Final answer
    x = 257.14

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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.