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Finding the Fourth Proportional to 234.90, 324.06 and 164.84

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Solution

The fourth proportional to 234.90, 324.06 and 164.84 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.90 : 324.06 = 164.84 : x
  2. Step 2: Convert to fraction form
    234.90/324.06 = 164.84/x
  3. Step 3: Cross multiply
    234.90x = 324.06 × 164.84
  4. Step 4: Simplify right side
    234.90x = 53,418.05
  5. Step 5: Solve for x
    x = 53,418.05/234.90
  6. Step 6: Final answer
    x = 227.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.