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Finding the Fourth Proportional to 333.37, 460.08 and 185.99

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Solution

The fourth proportional to 333.37, 460.08 and 185.99 is: 256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.37 : 460.08 = 185.99 : x
  2. Step 2: Convert to fraction form
    333.37/460.08 = 185.99/x
  3. Step 3: Cross multiply
    333.37x = 460.08 × 185.99
  4. Step 4: Simplify right side
    333.37x = 85,567.98
  5. Step 5: Solve for x
    x = 85,567.98/333.37
  6. Step 6: Final answer
    x = 256.68

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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.