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Finding the Fourth Proportional to 333.48, 500.24 and 150.83

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Solution

The fourth proportional to 333.48, 500.24 and 150.83 is: 226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.48 : 500.24 = 150.83 : x
  2. Step 2: Convert to fraction form
    333.48/500.24 = 150.83/x
  3. Step 3: Cross multiply
    333.48x = 500.24 × 150.83
  4. Step 4: Simplify right side
    333.48x = 75,450.95
  5. Step 5: Solve for x
    x = 75,450.95/333.48
  6. Step 6: Final answer
    x = 226.25

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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.