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Finding the Fourth Proportional to 233.84, 323.34 and 185.12

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Solution

The fourth proportional to 233.84, 323.34 and 185.12 is: 255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 323.34 = 185.12 : x
  2. Step 2: Convert to fraction form
    233.84/323.34 = 185.12/x
  3. Step 3: Cross multiply
    233.84x = 323.34 × 185.12
  4. Step 4: Simplify right side
    233.84x = 59,856.70
  5. Step 5: Solve for x
    x = 59,856.70/233.84
  6. Step 6: Final answer
    x = 255.97

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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.