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Finding the Fourth Proportional to 272.75, 376.01 and 182.98

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Solution

The fourth proportional to 272.75, 376.01 and 182.98 is: 252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.75 : 376.01 = 182.98 : x
  2. Step 2: Convert to fraction form
    272.75/376.01 = 182.98/x
  3. Step 3: Cross multiply
    272.75x = 376.01 × 182.98
  4. Step 4: Simplify right side
    272.75x = 68,800.44
  5. Step 5: Solve for x
    x = 68,800.44/272.75
  6. Step 6: Final answer
    x = 252.25

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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.