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Finding the Fourth Proportional to 223.70, 334.83 and 115.34

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Solution

The fourth proportional to 223.70, 334.83 and 115.34 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.70 : 334.83 = 115.34 : x
  2. Step 2: Convert to fraction form
    223.70/334.83 = 115.34/x
  3. Step 3: Cross multiply
    223.70x = 334.83 × 115.34
  4. Step 4: Simplify right side
    223.70x = 38,619.29
  5. Step 5: Solve for x
    x = 38,619.29/223.70
  6. Step 6: Final answer
    x = 172.64

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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.