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Finding the Fourth Proportional to 277.25, 382.08 and 178.85

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Solution

The fourth proportional to 277.25, 382.08 and 178.85 is: 246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 382.08 = 178.85 : x
  2. Step 2: Convert to fraction form
    277.25/382.08 = 178.85/x
  3. Step 3: Cross multiply
    277.25x = 382.08 × 178.85
  4. Step 4: Simplify right side
    277.25x = 68,335.01
  5. Step 5: Solve for x
    x = 68,335.01/277.25
  6. Step 6: Final answer
    x = 246.47

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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.