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Finding the Fourth Proportional to 381.24, 571.59 and 186.03

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Solution

The fourth proportional to 381.24, 571.59 and 186.03 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 571.59 = 186.03 : x
  2. Step 2: Convert to fraction form
    381.24/571.59 = 186.03/x
  3. Step 3: Cross multiply
    381.24x = 571.59 × 186.03
  4. Step 4: Simplify right side
    381.24x = 106,332.89
  5. Step 5: Solve for x
    x = 106,332.89/381.24
  6. Step 6: Final answer
    x = 278.91

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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.