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Finding the Fourth Proportional to 249.69, 376.42 and 232.97

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Solution

The fourth proportional to 249.69, 376.42 and 232.97 is: 351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.69 : 376.42 = 232.97 : x
  2. Step 2: Convert to fraction form
    249.69/376.42 = 232.97/x
  3. Step 3: Cross multiply
    249.69x = 376.42 × 232.97
  4. Step 4: Simplify right side
    249.69x = 87,695.51
  5. Step 5: Solve for x
    x = 87,695.51/249.69
  6. Step 6: Final answer
    x = 351.22

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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.