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Finding the Fourth Proportional to 233.92, 350.85 and 97.09

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Solution

The fourth proportional to 233.92, 350.85 and 97.09 is: 145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 350.85 = 97.09 : x
  2. Step 2: Convert to fraction form
    233.92/350.85 = 97.09/x
  3. Step 3: Cross multiply
    233.92x = 350.85 × 97.09
  4. Step 4: Simplify right side
    233.92x = 34,064.03
  5. Step 5: Solve for x
    x = 34,064.03/233.92
  6. Step 6: Final answer
    x = 145.62

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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.