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Finding the Fourth Proportional to 231.93, 347.73 and 110.05

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Solution

The fourth proportional to 231.93, 347.73 and 110.05 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.93 : 347.73 = 110.05 : x
  2. Step 2: Convert to fraction form
    231.93/347.73 = 110.05/x
  3. Step 3: Cross multiply
    231.93x = 347.73 × 110.05
  4. Step 4: Simplify right side
    231.93x = 38,267.14
  5. Step 5: Solve for x
    x = 38,267.14/231.93
  6. Step 6: Final answer
    x = 164.99

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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.