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Finding the Fourth Proportional to 381.15, 571.10 and 236.57

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Solution

The fourth proportional to 381.15, 571.10 and 236.57 is: 354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.15 : 571.10 = 236.57 : x
  2. Step 2: Convert to fraction form
    381.15/571.10 = 236.57/x
  3. Step 3: Cross multiply
    381.15x = 571.10 × 236.57
  4. Step 4: Simplify right side
    381.15x = 135,105.13
  5. Step 5: Solve for x
    x = 135,105.13/381.15
  6. Step 6: Final answer
    x = 354.47

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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.