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Finding the Fourth Proportional to 223.23, 307.33 and 195.69

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Solution

The fourth proportional to 223.23, 307.33 and 195.69 is: 269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 307.33 = 195.69 : x
  2. Step 2: Convert to fraction form
    223.23/307.33 = 195.69/x
  3. Step 3: Cross multiply
    223.23x = 307.33 × 195.69
  4. Step 4: Simplify right side
    223.23x = 60,141.41
  5. Step 5: Solve for x
    x = 60,141.41/223.23
  6. Step 6: Final answer
    x = 269.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.