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Finding the Fourth Proportional to 276.01, 378.68 and 268.82

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Solution

The fourth proportional to 276.01, 378.68 and 268.82 is: 368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.01 : 378.68 = 268.82 : x
  2. Step 2: Convert to fraction form
    276.01/378.68 = 268.82/x
  3. Step 3: Cross multiply
    276.01x = 378.68 × 268.82
  4. Step 4: Simplify right side
    276.01x = 101,794.94
  5. Step 5: Solve for x
    x = 101,794.94/276.01
  6. Step 6: Final answer
    x = 368.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.