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Finding the Fourth Proportional to 233.92, 350.87 and 96.97

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Solution

The fourth proportional to 233.92, 350.87 and 96.97 is: 145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 350.87 = 96.97 : x
  2. Step 2: Convert to fraction form
    233.92/350.87 = 96.97/x
  3. Step 3: Cross multiply
    233.92x = 350.87 × 96.97
  4. Step 4: Simplify right side
    233.92x = 34,022.11
  5. Step 5: Solve for x
    x = 34,022.11/233.92
  6. Step 6: Final answer
    x = 145.44

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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.