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Finding the Fourth Proportional to 319.43, 440.69 and 201.37

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Solution

The fourth proportional to 319.43, 440.69 and 201.37 is: 277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.43 : 440.69 = 201.37 : x
  2. Step 2: Convert to fraction form
    319.43/440.69 = 201.37/x
  3. Step 3: Cross multiply
    319.43x = 440.69 × 201.37
  4. Step 4: Simplify right side
    319.43x = 88,742.25
  5. Step 5: Solve for x
    x = 88,742.25/319.43
  6. Step 6: Final answer
    x = 277.82

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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.