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Finding the Fourth Proportional to 319.57, 440.97 and 195.32

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Solution

The fourth proportional to 319.57, 440.97 and 195.32 is: 269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.57 : 440.97 = 195.32 : x
  2. Step 2: Convert to fraction form
    319.57/440.97 = 195.32/x
  3. Step 3: Cross multiply
    319.57x = 440.97 × 195.32
  4. Step 4: Simplify right side
    319.57x = 86,130.26
  5. Step 5: Solve for x
    x = 86,130.26/319.57
  6. Step 6: Final answer
    x = 269.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.