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Finding the Fourth Proportional to 289.08, 399.09 and 201.60

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Solution

The fourth proportional to 289.08, 399.09 and 201.60 is: 278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.08 : 399.09 = 201.60 : x
  2. Step 2: Convert to fraction form
    289.08/399.09 = 201.60/x
  3. Step 3: Cross multiply
    289.08x = 399.09 × 201.60
  4. Step 4: Simplify right side
    289.08x = 80,456.54
  5. Step 5: Solve for x
    x = 80,456.54/289.08
  6. Step 6: Final answer
    x = 278.32

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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.