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Finding the Fourth Proportional to 224.93, 336.84 and 199.28

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Solution

The fourth proportional to 224.93, 336.84 and 199.28 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.93 : 336.84 = 199.28 : x
  2. Step 2: Convert to fraction form
    224.93/336.84 = 199.28/x
  3. Step 3: Cross multiply
    224.93x = 336.84 × 199.28
  4. Step 4: Simplify right side
    224.93x = 67,123.79
  5. Step 5: Solve for x
    x = 67,123.79/224.93
  6. Step 6: Final answer
    x = 298.43

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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.