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Finding the Fourth Proportional to 233.49, 350.31 and 96.61

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Solution

The fourth proportional to 233.49, 350.31 and 96.61 is: 144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.49 : 350.31 = 96.61 : x
  2. Step 2: Convert to fraction form
    233.49/350.31 = 96.61/x
  3. Step 3: Cross multiply
    233.49x = 350.31 × 96.61
  4. Step 4: Simplify right side
    233.49x = 33,843.45
  5. Step 5: Solve for x
    x = 33,843.45/233.49
  6. Step 6: Final answer
    x = 144.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.