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Finding the Fourth Proportional to 252.86, 349.31 and 190.69

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Solution

The fourth proportional to 252.86, 349.31 and 190.69 is: 263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.86 : 349.31 = 190.69 : x
  2. Step 2: Convert to fraction form
    252.86/349.31 = 190.69/x
  3. Step 3: Cross multiply
    252.86x = 349.31 × 190.69
  4. Step 4: Simplify right side
    252.86x = 66,609.53
  5. Step 5: Solve for x
    x = 66,609.53/252.86
  6. Step 6: Final answer
    x = 263.43

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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.