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Finding the Fourth Proportional to 381.46, 572.10 and 150.27

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Solution

The fourth proportional to 381.46, 572.10 and 150.27 is: 225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.46 : 572.10 = 150.27 : x
  2. Step 2: Convert to fraction form
    381.46/572.10 = 150.27/x
  3. Step 3: Cross multiply
    381.46x = 572.10 × 150.27
  4. Step 4: Simplify right side
    381.46x = 85,969.47
  5. Step 5: Solve for x
    x = 85,969.47/381.46
  6. Step 6: Final answer
    x = 225.37

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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.