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Finding the Fourth Proportional to 231.56, 347.46 and 109.81

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Solution

The fourth proportional to 231.56, 347.46 and 109.81 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.56 : 347.46 = 109.81 : x
  2. Step 2: Convert to fraction form
    231.56/347.46 = 109.81/x
  3. Step 3: Cross multiply
    231.56x = 347.46 × 109.81
  4. Step 4: Simplify right side
    231.56x = 38,153.58
  5. Step 5: Solve for x
    x = 38,153.58/231.56
  6. Step 6: Final answer
    x = 164.77

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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.