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Finding the Fourth Proportional to 280.36, 386.98 and 201.69

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Solution

The fourth proportional to 280.36, 386.98 and 201.69 is: 278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.36 : 386.98 = 201.69 : x
  2. Step 2: Convert to fraction form
    280.36/386.98 = 201.69/x
  3. Step 3: Cross multiply
    280.36x = 386.98 × 201.69
  4. Step 4: Simplify right side
    280.36x = 78,049.49
  5. Step 5: Solve for x
    x = 78,049.49/280.36
  6. Step 6: Final answer
    x = 278.39

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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.