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Finding the Fourth Proportional to 333.37, 500.24 and 150.75

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Solution

The fourth proportional to 333.37, 500.24 and 150.75 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.37 : 500.24 = 150.75 : x
  2. Step 2: Convert to fraction form
    333.37/500.24 = 150.75/x
  3. Step 3: Cross multiply
    333.37x = 500.24 × 150.75
  4. Step 4: Simplify right side
    333.37x = 75,412.81
  5. Step 5: Solve for x
    x = 75,412.81/333.37
  6. Step 6: Final answer
    x = 226.21

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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.