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Finding the Fourth Proportional to 233.43, 350.00 and 96.52

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Solution

The fourth proportional to 233.43, 350.00 and 96.52 is: 144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.43 : 350.00 = 96.52 : x
  2. Step 2: Convert to fraction form
    233.43/350.00 = 96.52/x
  3. Step 3: Cross multiply
    233.43x = 350.00 × 96.52
  4. Step 4: Simplify right side
    233.43x = 33,780.40
  5. Step 5: Solve for x
    x = 33,780.40/233.43
  6. Step 6: Final answer
    x = 144.71

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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.