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Finding the Fourth Proportional to 276.86, 381.94 and 178.65

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Solution

The fourth proportional to 276.86, 381.94 and 178.65 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 381.94 = 178.65 : x
  2. Step 2: Convert to fraction form
    276.86/381.94 = 178.65/x
  3. Step 3: Cross multiply
    276.86x = 381.94 × 178.65
  4. Step 4: Simplify right side
    276.86x = 68,233.13
  5. Step 5: Solve for x
    x = 68,233.13/276.86
  6. Step 6: Final answer
    x = 246.45

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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.