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Finding the Fourth Proportional to 233.45, 321.83 and 167.04

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Solution

The fourth proportional to 233.45, 321.83 and 167.04 is: 230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.45 : 321.83 = 167.04 : x
  2. Step 2: Convert to fraction form
    233.45/321.83 = 167.04/x
  3. Step 3: Cross multiply
    233.45x = 321.83 × 167.04
  4. Step 4: Simplify right side
    233.45x = 53,756.04
  5. Step 5: Solve for x
    x = 53,756.04/233.45
  6. Step 6: Final answer
    x = 230.27

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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.