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Finding the Fourth Proportional to 381.62, 571.97 and 175.91

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Solution

The fourth proportional to 381.62, 571.97 and 175.91 is: 263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.62 : 571.97 = 175.91 : x
  2. Step 2: Convert to fraction form
    381.62/571.97 = 175.91/x
  3. Step 3: Cross multiply
    381.62x = 571.97 × 175.91
  4. Step 4: Simplify right side
    381.62x = 100,611.50
  5. Step 5: Solve for x
    x = 100,611.50/381.62
  6. Step 6: Final answer
    x = 263.65

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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.