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Finding the Fourth Proportional to 234.02, 322.80 and 168.41

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Solution

The fourth proportional to 234.02, 322.80 and 168.41 is: 232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 322.80 = 168.41 : x
  2. Step 2: Convert to fraction form
    234.02/322.80 = 168.41/x
  3. Step 3: Cross multiply
    234.02x = 322.80 × 168.41
  4. Step 4: Simplify right side
    234.02x = 54,362.75
  5. Step 5: Solve for x
    x = 54,362.75/234.02
  6. Step 6: Final answer
    x = 232.30

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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.