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Finding the Fourth Proportional to 273.76, 377.53 and 211.49

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Solution

The fourth proportional to 273.76, 377.53 and 211.49 is: 291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.76 : 377.53 = 211.49 : x
  2. Step 2: Convert to fraction form
    273.76/377.53 = 211.49/x
  3. Step 3: Cross multiply
    273.76x = 377.53 × 211.49
  4. Step 4: Simplify right side
    273.76x = 79,843.82
  5. Step 5: Solve for x
    x = 79,843.82/273.76
  6. Step 6: Final answer
    x = 291.66

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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.