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Finding the Fourth Proportional to 231.89, 347.91 and 110.19

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Solution

The fourth proportional to 231.89, 347.91 and 110.19 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.89 : 347.91 = 110.19 : x
  2. Step 2: Convert to fraction form
    231.89/347.91 = 110.19/x
  3. Step 3: Cross multiply
    231.89x = 347.91 × 110.19
  4. Step 4: Simplify right side
    231.89x = 38,334.46
  5. Step 5: Solve for x
    x = 38,334.46/231.89
  6. Step 6: Final answer
    x = 165.31

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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.