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Finding the Fourth Proportional to 381.35, 571.99 and 150.10

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Solution

The fourth proportional to 381.35, 571.99 and 150.10 is: 225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.35 : 571.99 = 150.10 : x
  2. Step 2: Convert to fraction form
    381.35/571.99 = 150.10/x
  3. Step 3: Cross multiply
    381.35x = 571.99 × 150.10
  4. Step 4: Simplify right side
    381.35x = 85,855.70
  5. Step 5: Solve for x
    x = 85,855.70/381.35
  6. Step 6: Final answer
    x = 225.14

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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.