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Finding the Fourth Proportional to 381.05, 571.71 and 150.10

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Solution

The fourth proportional to 381.05, 571.71 and 150.10 is: 225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.05 : 571.71 = 150.10 : x
  2. Step 2: Convert to fraction form
    381.05/571.71 = 150.10/x
  3. Step 3: Cross multiply
    381.05x = 571.71 × 150.10
  4. Step 4: Simplify right side
    381.05x = 85,812.51
  5. Step 5: Solve for x
    x = 85,812.51/381.05
  6. Step 6: Final answer
    x = 225.20

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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.