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Finding the Fourth Proportional to 319.67, 441 and 186.88

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Solution

The fourth proportional to 319.67, 441 and 186.88 is: 257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.67 : 441 = 186.88 : x
  2. Step 2: Convert to fraction form
    319.67/441 = 186.88/x
  3. Step 3: Cross multiply
    319.67x = 441 × 186.88
  4. Step 4: Simplify right side
    319.67x = 82,414.08
  5. Step 5: Solve for x
    x = 82,414.08/319.67
  6. Step 6: Final answer
    x = 257.81

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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.