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Finding the Fourth Proportional to 232.98, 350.96 and 190.74

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Solution

The fourth proportional to 232.98, 350.96 and 190.74 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.98 : 350.96 = 190.74 : x
  2. Step 2: Convert to fraction form
    232.98/350.96 = 190.74/x
  3. Step 3: Cross multiply
    232.98x = 350.96 × 190.74
  4. Step 4: Simplify right side
    232.98x = 66,941.16
  5. Step 5: Solve for x
    x = 66,941.16/232.98
  6. Step 6: Final answer
    x = 287.33

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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.