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Finding the Fourth Proportional to 332.99, 459.37 and 201.97

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Solution

The fourth proportional to 332.99, 459.37 and 201.97 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.99 : 459.37 = 201.97 : x
  2. Step 2: Convert to fraction form
    332.99/459.37 = 201.97/x
  3. Step 3: Cross multiply
    332.99x = 459.37 × 201.97
  4. Step 4: Simplify right side
    332.99x = 92,778.96
  5. Step 5: Solve for x
    x = 92,778.96/332.99
  6. Step 6: Final answer
    x = 278.62

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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.