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Finding the Fourth Proportional to 381.21, 571.72 and 150.00

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Solution

The fourth proportional to 381.21, 571.72 and 150.00 is: 224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.21 : 571.72 = 150.00 : x
  2. Step 2: Convert to fraction form
    381.21/571.72 = 150.00/x
  3. Step 3: Cross multiply
    381.21x = 571.72 × 150.00
  4. Step 4: Simplify right side
    381.21x = 85,754.77
  5. Step 5: Solve for x
    x = 85,754.77/381.21
  6. Step 6: Final answer
    x = 224.96

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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.