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Finding the Fourth Proportional to 319.59, 441.14 and 201.60

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Solution

The fourth proportional to 319.59, 441.14 and 201.60 is: 278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.59 : 441.14 = 201.60 : x
  2. Step 2: Convert to fraction form
    319.59/441.14 = 201.60/x
  3. Step 3: Cross multiply
    319.59x = 441.14 × 201.60
  4. Step 4: Simplify right side
    319.59x = 88,932.82
  5. Step 5: Solve for x
    x = 88,932.82/319.59
  6. Step 6: Final answer
    x = 278.27

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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.