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Finding the Fourth Proportional to 263.94, 395.53 and 181.59

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Solution

The fourth proportional to 263.94, 395.53 and 181.59 is: 272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.94 : 395.53 = 181.59 : x
  2. Step 2: Convert to fraction form
    263.94/395.53 = 181.59/x
  3. Step 3: Cross multiply
    263.94x = 395.53 × 181.59
  4. Step 4: Simplify right side
    263.94x = 71,825.28
  5. Step 5: Solve for x
    x = 71,825.28/263.94
  6. Step 6: Final answer
    x = 272.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.