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Finding the Fourth Proportional to 332.86, 459.41 and 200.09

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Solution

The fourth proportional to 332.86, 459.41 and 200.09 is: 276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.86 : 459.41 = 200.09 : x
  2. Step 2: Convert to fraction form
    332.86/459.41 = 200.09/x
  3. Step 3: Cross multiply
    332.86x = 459.41 × 200.09
  4. Step 4: Simplify right side
    332.86x = 91,923.35
  5. Step 5: Solve for x
    x = 91,923.35/332.86
  6. Step 6: Final answer
    x = 276.16

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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.