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Finding the Fourth Proportional to 272.78, 376.38 and 167.88

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Solution

The fourth proportional to 272.78, 376.38 and 167.88 is: 231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.78 : 376.38 = 167.88 : x
  2. Step 2: Convert to fraction form
    272.78/376.38 = 167.88/x
  3. Step 3: Cross multiply
    272.78x = 376.38 × 167.88
  4. Step 4: Simplify right side
    272.78x = 63,188.09
  5. Step 5: Solve for x
    x = 63,188.09/272.78
  6. Step 6: Final answer
    x = 231.65

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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.