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Finding the Fourth Proportional to 233.20, 321.82 and 128.29

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Solution

The fourth proportional to 233.20, 321.82 and 128.29 is: 177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 321.82 = 128.29 : x
  2. Step 2: Convert to fraction form
    233.20/321.82 = 128.29/x
  3. Step 3: Cross multiply
    233.20x = 321.82 × 128.29
  4. Step 4: Simplify right side
    233.20x = 41,285.81
  5. Step 5: Solve for x
    x = 41,285.81/233.20
  6. Step 6: Final answer
    x = 177.04

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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.