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Finding the Fourth Proportional to 319.73, 441.27 and 186.98

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Solution

The fourth proportional to 319.73, 441.27 and 186.98 is: 258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.73 : 441.27 = 186.98 : x
  2. Step 2: Convert to fraction form
    319.73/441.27 = 186.98/x
  3. Step 3: Cross multiply
    319.73x = 441.27 × 186.98
  4. Step 4: Simplify right side
    319.73x = 82,506.46
  5. Step 5: Solve for x
    x = 82,506.46/319.73
  6. Step 6: Final answer
    x = 258.05

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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.