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Finding the Fourth Proportional to 273.81, 377.61 and 200.58

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Solution

The fourth proportional to 273.81, 377.61 and 200.58 is: 276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.81 : 377.61 = 200.58 : x
  2. Step 2: Convert to fraction form
    273.81/377.61 = 200.58/x
  3. Step 3: Cross multiply
    273.81x = 377.61 × 200.58
  4. Step 4: Simplify right side
    273.81x = 75,741.01
  5. Step 5: Solve for x
    x = 75,741.01/273.81
  6. Step 6: Final answer
    x = 276.62

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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.