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Finding the Fourth Proportional to 224.12, 336.23 and 126.61

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Solution

The fourth proportional to 224.12, 336.23 and 126.61 is: 189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 336.23 = 126.61 : x
  2. Step 2: Convert to fraction form
    224.12/336.23 = 126.61/x
  3. Step 3: Cross multiply
    224.12x = 336.23 × 126.61
  4. Step 4: Simplify right side
    224.12x = 42,570.62
  5. Step 5: Solve for x
    x = 42,570.62/224.12
  6. Step 6: Final answer
    x = 189.95

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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.