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Finding the Fourth Proportional to 223.96, 334.27 and 192.97

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Solution

The fourth proportional to 223.96, 334.27 and 192.97 is: 288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.96 : 334.27 = 192.97 : x
  2. Step 2: Convert to fraction form
    223.96/334.27 = 192.97/x
  3. Step 3: Cross multiply
    223.96x = 334.27 × 192.97
  4. Step 4: Simplify right side
    223.96x = 64,504.08
  5. Step 5: Solve for x
    x = 64,504.08/223.96
  6. Step 6: Final answer
    x = 288.02

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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.