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Finding the Fourth Proportional to 232.11, 319.89 and 210.09

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Solution

The fourth proportional to 232.11, 319.89 and 210.09 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.11 : 319.89 = 210.09 : x
  2. Step 2: Convert to fraction form
    232.11/319.89 = 210.09/x
  3. Step 3: Cross multiply
    232.11x = 319.89 × 210.09
  4. Step 4: Simplify right side
    232.11x = 67,205.69
  5. Step 5: Solve for x
    x = 67,205.69/232.11
  6. Step 6: Final answer
    x = 289.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.