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Finding the Fourth Proportional to 233.09, 321.66 and 129.59

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Solution

The fourth proportional to 233.09, 321.66 and 129.59 is: 178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.09 : 321.66 = 129.59 : x
  2. Step 2: Convert to fraction form
    233.09/321.66 = 129.59/x
  3. Step 3: Cross multiply
    233.09x = 321.66 × 129.59
  4. Step 4: Simplify right side
    233.09x = 41,682.31
  5. Step 5: Solve for x
    x = 41,682.31/233.09
  6. Step 6: Final answer
    x = 178.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.