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Finding the Fourth Proportional to 333.09, 499.49 and 150.43

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Solution

The fourth proportional to 333.09, 499.49 and 150.43 is: 225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.09 : 499.49 = 150.43 : x
  2. Step 2: Convert to fraction form
    333.09/499.49 = 150.43/x
  3. Step 3: Cross multiply
    333.09x = 499.49 × 150.43
  4. Step 4: Simplify right side
    333.09x = 75,138.28
  5. Step 5: Solve for x
    x = 75,138.28/333.09
  6. Step 6: Final answer
    x = 225.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.