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Finding the Fourth Proportional to 223.96, 336.26 and 115.84

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Solution

The fourth proportional to 223.96, 336.26 and 115.84 is: 173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.96 : 336.26 = 115.84 : x
  2. Step 2: Convert to fraction form
    223.96/336.26 = 115.84/x
  3. Step 3: Cross multiply
    223.96x = 336.26 × 115.84
  4. Step 4: Simplify right side
    223.96x = 38,952.36
  5. Step 5: Solve for x
    x = 38,952.36/223.96
  6. Step 6: Final answer
    x = 173.93

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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.