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Finding the Fourth Proportional to 233.37, 321.96 and 138.82

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Solution

The fourth proportional to 233.37, 321.96 and 138.82 is: 191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.37 : 321.96 = 138.82 : x
  2. Step 2: Convert to fraction form
    233.37/321.96 = 138.82/x
  3. Step 3: Cross multiply
    233.37x = 321.96 × 138.82
  4. Step 4: Simplify right side
    233.37x = 44,692.88
  5. Step 5: Solve for x
    x = 44,692.88/233.37
  6. Step 6: Final answer
    x = 191.51

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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.