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Finding the Fourth Proportional to 277.09, 382.38 and 178.85

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Solution

The fourth proportional to 277.09, 382.38 and 178.85 is: 246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.09 : 382.38 = 178.85 : x
  2. Step 2: Convert to fraction form
    277.09/382.38 = 178.85/x
  3. Step 3: Cross multiply
    277.09x = 382.38 × 178.85
  4. Step 4: Simplify right side
    277.09x = 68,388.66
  5. Step 5: Solve for x
    x = 68,388.66/277.09
  6. Step 6: Final answer
    x = 246.81

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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.