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Finding the Fourth Proportional to 319.23, 440.37 and 208.65

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Solution

The fourth proportional to 319.23, 440.37 and 208.65 is: 287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.23 : 440.37 = 208.65 : x
  2. Step 2: Convert to fraction form
    319.23/440.37 = 208.65/x
  3. Step 3: Cross multiply
    319.23x = 440.37 × 208.65
  4. Step 4: Simplify right side
    319.23x = 91,883.20
  5. Step 5: Solve for x
    x = 91,883.20/319.23
  6. Step 6: Final answer
    x = 287.83

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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.