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Finding the Fourth Proportional to 224.56, 334.94 and 200.26

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Solution

The fourth proportional to 224.56, 334.94 and 200.26 is: 298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 334.94 = 200.26 : x
  2. Step 2: Convert to fraction form
    224.56/334.94 = 200.26/x
  3. Step 3: Cross multiply
    224.56x = 334.94 × 200.26
  4. Step 4: Simplify right side
    224.56x = 67,075.08
  5. Step 5: Solve for x
    x = 67,075.08/224.56
  6. Step 6: Final answer
    x = 298.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.