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Finding the Fourth Proportional to 319.56, 441 and 195.24

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Solution

The fourth proportional to 319.56, 441 and 195.24 is: 269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.56 : 441 = 195.24 : x
  2. Step 2: Convert to fraction form
    319.56/441 = 195.24/x
  3. Step 3: Cross multiply
    319.56x = 441 × 195.24
  4. Step 4: Simplify right side
    319.56x = 86,100.84
  5. Step 5: Solve for x
    x = 86,100.84/319.56
  6. Step 6: Final answer
    x = 269.44

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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.