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Finding the Fourth Proportional to 233.89, 323.12 and 181.65

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Solution

The fourth proportional to 233.89, 323.12 and 181.65 is: 250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.89 : 323.12 = 181.65 : x
  2. Step 2: Convert to fraction form
    233.89/323.12 = 181.65/x
  3. Step 3: Cross multiply
    233.89x = 323.12 × 181.65
  4. Step 4: Simplify right side
    233.89x = 58,694.75
  5. Step 5: Solve for x
    x = 58,694.75/233.89
  6. Step 6: Final answer
    x = 250.95

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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.