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Finding the Fourth Proportional to 232.36, 320.67 and 134.09

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Solution

The fourth proportional to 232.36, 320.67 and 134.09 is: 185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.36 : 320.67 = 134.09 : x
  2. Step 2: Convert to fraction form
    232.36/320.67 = 134.09/x
  3. Step 3: Cross multiply
    232.36x = 320.67 × 134.09
  4. Step 4: Simplify right side
    232.36x = 42,998.64
  5. Step 5: Solve for x
    x = 42,998.64/232.36
  6. Step 6: Final answer
    x = 185.05

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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.