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Finding the Fourth Proportional to 233.70, 350.76 and 96.75

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Solution

The fourth proportional to 233.70, 350.76 and 96.75 is: 145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.70 : 350.76 = 96.75 : x
  2. Step 2: Convert to fraction form
    233.70/350.76 = 96.75/x
  3. Step 3: Cross multiply
    233.70x = 350.76 × 96.75
  4. Step 4: Simplify right side
    233.70x = 33,936.03
  5. Step 5: Solve for x
    x = 33,936.03/233.70
  6. Step 6: Final answer
    x = 145.21

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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.