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Finding the Fourth Proportional to 234.49, 323.53 and 187.96

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Solution

The fourth proportional to 234.49, 323.53 and 187.96 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.49 : 323.53 = 187.96 : x
  2. Step 2: Convert to fraction form
    234.49/323.53 = 187.96/x
  3. Step 3: Cross multiply
    234.49x = 323.53 × 187.96
  4. Step 4: Simplify right side
    234.49x = 60,810.70
  5. Step 5: Solve for x
    x = 60,810.70/234.49
  6. Step 6: Final answer
    x = 259.33

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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.