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Finding the Fourth Proportional to 224.44, 336.76 and 164.07

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Solution

The fourth proportional to 224.44, 336.76 and 164.07 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.44 : 336.76 = 164.07 : x
  2. Step 2: Convert to fraction form
    224.44/336.76 = 164.07/x
  3. Step 3: Cross multiply
    224.44x = 336.76 × 164.07
  4. Step 4: Simplify right side
    224.44x = 55,251.80
  5. Step 5: Solve for x
    x = 55,251.80/224.44
  6. Step 6: Final answer
    x = 246.18

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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.