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Finding the Fourth Proportional to 333.57, 500.24 and 150.84

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Solution

The fourth proportional to 333.57, 500.24 and 150.84 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.57 : 500.24 = 150.84 : x
  2. Step 2: Convert to fraction form
    333.57/500.24 = 150.84/x
  3. Step 3: Cross multiply
    333.57x = 500.24 × 150.84
  4. Step 4: Simplify right side
    333.57x = 75,455.45
  5. Step 5: Solve for x
    x = 75,455.45/333.57
  6. Step 6: Final answer
    x = 226.21

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