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Finding the Fourth Proportional to 234.46, 323.53 and 160.82

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Solution

The fourth proportional to 234.46, 323.53 and 160.82 is: 221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.46 : 323.53 = 160.82 : x
  2. Step 2: Convert to fraction form
    234.46/323.53 = 160.82/x
  3. Step 3: Cross multiply
    234.46x = 323.53 × 160.82
  4. Step 4: Simplify right side
    234.46x = 52,029.29
  5. Step 5: Solve for x
    x = 52,029.29/234.46
  6. Step 6: Final answer
    x = 221.91

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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.