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Finding the Fourth Proportional to 252.84, 379.24 and 224.04

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Solution

The fourth proportional to 252.84, 379.24 and 224.04 is: 336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.84 : 379.24 = 224.04 : x
  2. Step 2: Convert to fraction form
    252.84/379.24 = 224.04/x
  3. Step 3: Cross multiply
    252.84x = 379.24 × 224.04
  4. Step 4: Simplify right side
    252.84x = 84,964.93
  5. Step 5: Solve for x
    x = 84,964.93/252.84
  6. Step 6: Final answer
    x = 336.04

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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.