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Finding the Fourth Proportional to 319.68, 441.14 and 186.92

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Solution

The fourth proportional to 319.68, 441.14 and 186.92 is: 257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 441.14 = 186.92 : x
  2. Step 2: Convert to fraction form
    319.68/441.14 = 186.92/x
  3. Step 3: Cross multiply
    319.68x = 441.14 × 186.92
  4. Step 4: Simplify right side
    319.68x = 82,454.75
  5. Step 5: Solve for x
    x = 82,454.75/319.68
  6. Step 6: Final answer
    x = 257.93

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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.