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Finding the Fourth Proportional to 233.21, 321.83 and 128.31

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Solution

The fourth proportional to 233.21, 321.83 and 128.31 is: 177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.21 : 321.83 = 128.31 : x
  2. Step 2: Convert to fraction form
    233.21/321.83 = 128.31/x
  3. Step 3: Cross multiply
    233.21x = 321.83 × 128.31
  4. Step 4: Simplify right side
    233.21x = 41,293.69
  5. Step 5: Solve for x
    x = 41,293.69/233.21
  6. Step 6: Final answer
    x = 177.06

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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.