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Finding the Fourth Proportional to 233.73, 322.45 and 163.90

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Solution

The fourth proportional to 233.73, 322.45 and 163.90 is: 226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.73 : 322.45 = 163.90 : x
  2. Step 2: Convert to fraction form
    233.73/322.45 = 163.90/x
  3. Step 3: Cross multiply
    233.73x = 322.45 × 163.90
  4. Step 4: Simplify right side
    233.73x = 52,849.56
  5. Step 5: Solve for x
    x = 52,849.56/233.73
  6. Step 6: Final answer
    x = 226.11

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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.