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Finding the Fourth Proportional to 381.05, 571.58 and 186.14

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Solution

The fourth proportional to 381.05, 571.58 and 186.14 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.05 : 571.58 = 186.14 : x
  2. Step 2: Convert to fraction form
    381.05/571.58 = 186.14/x
  3. Step 3: Cross multiply
    381.05x = 571.58 × 186.14
  4. Step 4: Simplify right side
    381.05x = 106,393.90
  5. Step 5: Solve for x
    x = 106,393.90/381.05
  6. Step 6: Final answer
    x = 279.21

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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.