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Finding the Fourth Proportional to 233.49, 321.91 and 167.88

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Solution

The fourth proportional to 233.49, 321.91 and 167.88 is: 231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.49 : 321.91 = 167.88 : x
  2. Step 2: Convert to fraction form
    233.49/321.91 = 167.88/x
  3. Step 3: Cross multiply
    233.49x = 321.91 × 167.88
  4. Step 4: Simplify right side
    233.49x = 54,042.25
  5. Step 5: Solve for x
    x = 54,042.25/233.49
  6. Step 6: Final answer
    x = 231.45

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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.