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Finding the Fourth Proportional to 333.22, 459.84 and 185.87

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Solution

The fourth proportional to 333.22, 459.84 and 185.87 is: 256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.22 : 459.84 = 185.87 : x
  2. Step 2: Convert to fraction form
    333.22/459.84 = 185.87/x
  3. Step 3: Cross multiply
    333.22x = 459.84 × 185.87
  4. Step 4: Simplify right side
    333.22x = 85,469.53
  5. Step 5: Solve for x
    x = 85,469.53/333.22
  6. Step 6: Final answer
    x = 256.50

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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.