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Finding the Fourth Proportional to 319.66, 441.15 and 195.28

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Solution

The fourth proportional to 319.66, 441.15 and 195.28 is: 269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.66 : 441.15 = 195.28 : x
  2. Step 2: Convert to fraction form
    319.66/441.15 = 195.28/x
  3. Step 3: Cross multiply
    319.66x = 441.15 × 195.28
  4. Step 4: Simplify right side
    319.66x = 86,147.77
  5. Step 5: Solve for x
    x = 86,147.77/319.66
  6. Step 6: Final answer
    x = 269.50

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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.