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Finding the Fourth Proportional to 273.86, 379.80 and 264.14

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Solution

The fourth proportional to 273.86, 379.80 and 264.14 is: 366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 379.80 = 264.14 : x
  2. Step 2: Convert to fraction form
    273.86/379.80 = 264.14/x
  3. Step 3: Cross multiply
    273.86x = 379.80 × 264.14
  4. Step 4: Simplify right side
    273.86x = 100,320.37
  5. Step 5: Solve for x
    x = 100,320.37/273.86
  6. Step 6: Final answer
    x = 366.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.