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Finding the Fourth Proportional to 333.54, 500.31 and 150.81

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Solution

The fourth proportional to 333.54, 500.31 and 150.81 is: 226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.54 : 500.31 = 150.81 : x
  2. Step 2: Convert to fraction form
    333.54/500.31 = 150.81/x
  3. Step 3: Cross multiply
    333.54x = 500.31 × 150.81
  4. Step 4: Simplify right side
    333.54x = 75,451.75
  5. Step 5: Solve for x
    x = 75,451.75/333.54
  6. Step 6: Final answer
    x = 226.22

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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.