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Finding the Fourth Proportional to 224.23, 335.73 and 132.70

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Solution

The fourth proportional to 224.23, 335.73 and 132.70 is: 198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.23 : 335.73 = 132.70 : x
  2. Step 2: Convert to fraction form
    224.23/335.73 = 132.70/x
  3. Step 3: Cross multiply
    224.23x = 335.73 × 132.70
  4. Step 4: Simplify right side
    224.23x = 44,551.37
  5. Step 5: Solve for x
    x = 44,551.37/224.23
  6. Step 6: Final answer
    x = 198.69

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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.