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Finding the Fourth Proportional to 223.07, 334.23 and 199.24

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Solution

The fourth proportional to 223.07, 334.23 and 199.24 is: 298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.07 : 334.23 = 199.24 : x
  2. Step 2: Convert to fraction form
    223.07/334.23 = 199.24/x
  3. Step 3: Cross multiply
    223.07x = 334.23 × 199.24
  4. Step 4: Simplify right side
    223.07x = 66,592.28
  5. Step 5: Solve for x
    x = 66,592.28/223.07
  6. Step 6: Final answer
    x = 298.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.