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Finding the Fourth Proportional to 223.45, 334.46 and 115.09

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Solution

The fourth proportional to 223.45, 334.46 and 115.09 is: 172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.45 : 334.46 = 115.09 : x
  2. Step 2: Convert to fraction form
    223.45/334.46 = 115.09/x
  3. Step 3: Cross multiply
    223.45x = 334.46 × 115.09
  4. Step 4: Simplify right side
    223.45x = 38,492.43
  5. Step 5: Solve for x
    x = 38,492.43/223.45
  6. Step 6: Final answer
    x = 172.26

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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.