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Finding the Fourth Proportional to 263.05, 394.46 and 89.67

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Solution

The fourth proportional to 263.05, 394.46 and 89.67 is: 134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.05 : 394.46 = 89.67 : x
  2. Step 2: Convert to fraction form
    263.05/394.46 = 89.67/x
  3. Step 3: Cross multiply
    263.05x = 394.46 × 89.67
  4. Step 4: Simplify right side
    263.05x = 35,372.55
  5. Step 5: Solve for x
    x = 35,372.55/263.05
  6. Step 6: Final answer
    x = 134.47

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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.