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Finding the Fourth Proportional to 276.99, 381.99 and 178.86

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Solution

The fourth proportional to 276.99, 381.99 and 178.86 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.99 : 381.99 = 178.86 : x
  2. Step 2: Convert to fraction form
    276.99/381.99 = 178.86/x
  3. Step 3: Cross multiply
    276.99x = 381.99 × 178.86
  4. Step 4: Simplify right side
    276.99x = 68,322.73
  5. Step 5: Solve for x
    x = 68,322.73/276.99
  6. Step 6: Final answer
    x = 246.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.