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Finding the Fourth Proportional to 333.21, 459.83 and 185.84

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Solution

The fourth proportional to 333.21, 459.83 and 185.84 is: 256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.21 : 459.83 = 185.84 : x
  2. Step 2: Convert to fraction form
    333.21/459.83 = 185.84/x
  3. Step 3: Cross multiply
    333.21x = 459.83 × 185.84
  4. Step 4: Simplify right side
    333.21x = 85,456.42
  5. Step 5: Solve for x
    x = 85,456.42/333.21
  6. Step 6: Final answer
    x = 256.46

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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.