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Finding the Fourth Proportional to 381.14, 571.54 and 175.78

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Solution

The fourth proportional to 381.14, 571.54 and 175.78 is: 263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 571.54 = 175.78 : x
  2. Step 2: Convert to fraction form
    381.14/571.54 = 175.78/x
  3. Step 3: Cross multiply
    381.14x = 571.54 × 175.78
  4. Step 4: Simplify right side
    381.14x = 100,461.56
  5. Step 5: Solve for x
    x = 100,461.56/381.14
  6. Step 6: Final answer
    x = 263.58

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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.