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Finding the Fourth Proportional to 223.40, 339.19 and 223.40

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Solution

The fourth proportional to 223.40, 339.19 and 223.40 is: 339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.40 : 339.19 = 223.40 : x
  2. Step 2: Convert to fraction form
    223.40/339.19 = 223.40/x
  3. Step 3: Cross multiply
    223.40x = 339.19 × 223.40
  4. Step 4: Simplify right side
    223.40x = 75,775.05
  5. Step 5: Solve for x
    x = 75,775.05/223.40
  6. Step 6: Final answer
    x = 339.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.