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Finding the Fourth Proportional to 737.06, 1,105.61 and 224.06

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Solution

The fourth proportional to 737.06, 1,105.61 and 224.06 is: 336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.06 : 1,105.61 = 224.06 : x
  2. Step 2: Convert to fraction form
    737.06/1,105.61 = 224.06/x
  3. Step 3: Cross multiply
    737.06x = 1,105.61 × 224.06
  4. Step 4: Simplify right side
    737.06x = 247,724.62
  5. Step 5: Solve for x
    x = 247,724.62/737.06
  6. Step 6: Final answer
    x = 336.10

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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.