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Finding the Fourth Proportional to 233.22, 349.17 and 194.34

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Solution

The fourth proportional to 233.22, 349.17 and 194.34 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.22 : 349.17 = 194.34 : x
  2. Step 2: Convert to fraction form
    233.22/349.17 = 194.34/x
  3. Step 3: Cross multiply
    233.22x = 349.17 × 194.34
  4. Step 4: Simplify right side
    233.22x = 67,857.70
  5. Step 5: Solve for x
    x = 67,857.70/233.22
  6. Step 6: Final answer
    x = 290.96

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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.