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Finding the Fourth Proportional to 319.54, 440.98 and 195.16

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Solution

The fourth proportional to 319.54, 440.98 and 195.16 is: 269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.54 : 440.98 = 195.16 : x
  2. Step 2: Convert to fraction form
    319.54/440.98 = 195.16/x
  3. Step 3: Cross multiply
    319.54x = 440.98 × 195.16
  4. Step 4: Simplify right side
    319.54x = 86,061.66
  5. Step 5: Solve for x
    x = 86,061.66/319.54
  6. Step 6: Final answer
    x = 269.33

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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.