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Finding the Fourth Proportional to 234.37, 323.35 and 141.04

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Solution

The fourth proportional to 234.37, 323.35 and 141.04 is: 194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.37 : 323.35 = 141.04 : x
  2. Step 2: Convert to fraction form
    234.37/323.35 = 141.04/x
  3. Step 3: Cross multiply
    234.37x = 323.35 × 141.04
  4. Step 4: Simplify right side
    234.37x = 45,606.64
  5. Step 5: Solve for x
    x = 45,606.64/234.37
  6. Step 6: Final answer
    x = 194.59

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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.