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Finding the Fourth Proportional to 244.23, 366.27 and 120.77

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Solution

The fourth proportional to 244.23, 366.27 and 120.77 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.23 : 366.27 = 120.77 : x
  2. Step 2: Convert to fraction form
    244.23/366.27 = 120.77/x
  3. Step 3: Cross multiply
    244.23x = 366.27 × 120.77
  4. Step 4: Simplify right side
    244.23x = 44,234.43
  5. Step 5: Solve for x
    x = 44,234.43/244.23
  6. Step 6: Final answer
    x = 181.12

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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.