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Finding the Fourth Proportional to 277.09, 382.12 and 178.88

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Solution

The fourth proportional to 277.09, 382.12 and 178.88 is: 246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.09 : 382.12 = 178.88 : x
  2. Step 2: Convert to fraction form
    277.09/382.12 = 178.88/x
  3. Step 3: Cross multiply
    277.09x = 382.12 × 178.88
  4. Step 4: Simplify right side
    277.09x = 68,351.27
  5. Step 5: Solve for x
    x = 68,351.27/277.09
  6. Step 6: Final answer
    x = 246.68

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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.