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Finding the Fourth Proportional to 231.66, 347.69 and 109.96

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Solution

The fourth proportional to 231.66, 347.69 and 109.96 is: 165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 347.69 = 109.96 : x
  2. Step 2: Convert to fraction form
    231.66/347.69 = 109.96/x
  3. Step 3: Cross multiply
    231.66x = 347.69 × 109.96
  4. Step 4: Simplify right side
    231.66x = 38,231.40
  5. Step 5: Solve for x
    x = 38,231.40/231.66
  6. Step 6: Final answer
    x = 165.03

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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.