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Finding the Fourth Proportional to 272.69, 376.46 and 167.80

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Solution

The fourth proportional to 272.69, 376.46 and 167.80 is: 231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.69 : 376.46 = 167.80 : x
  2. Step 2: Convert to fraction form
    272.69/376.46 = 167.80/x
  3. Step 3: Cross multiply
    272.69x = 376.46 × 167.80
  4. Step 4: Simplify right side
    272.69x = 63,169.99
  5. Step 5: Solve for x
    x = 63,169.99/272.69
  6. Step 6: Final answer
    x = 231.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.