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Finding the Fourth Proportional to 263.56, 395.14 and 160.82

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Solution

The fourth proportional to 263.56, 395.14 and 160.82 is: 241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.56 : 395.14 = 160.82 : x
  2. Step 2: Convert to fraction form
    263.56/395.14 = 160.82/x
  3. Step 3: Cross multiply
    263.56x = 395.14 × 160.82
  4. Step 4: Simplify right side
    263.56x = 63,546.41
  5. Step 5: Solve for x
    x = 63,546.41/263.56
  6. Step 6: Final answer
    x = 241.11

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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.