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Finding the Fourth Proportional to 381.05, 571.56 and 164.78

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Solution

The fourth proportional to 381.05, 571.56 and 164.78 is: 247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.05 : 571.56 = 164.78 : x
  2. Step 2: Convert to fraction form
    381.05/571.56 = 164.78/x
  3. Step 3: Cross multiply
    381.05x = 571.56 × 164.78
  4. Step 4: Simplify right side
    381.05x = 94,181.66
  5. Step 5: Solve for x
    x = 94,181.66/381.05
  6. Step 6: Final answer
    x = 247.16

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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.