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Finding the Fourth Proportional to 232.64, 350.24 and 212.80

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Solution

The fourth proportional to 232.64, 350.24 and 212.80 is: 320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.64 : 350.24 = 212.80 : x
  2. Step 2: Convert to fraction form
    232.64/350.24 = 212.80/x
  3. Step 3: Cross multiply
    232.64x = 350.24 × 212.80
  4. Step 4: Simplify right side
    232.64x = 74,531.07
  5. Step 5: Solve for x
    x = 74,531.07/232.64
  6. Step 6: Final answer
    x = 320.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.