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Finding the Fourth Proportional to 381.13, 571.71 and 121.15

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Solution

The fourth proportional to 381.13, 571.71 and 121.15 is: 181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.13 : 571.71 = 121.15 : x
  2. Step 2: Convert to fraction form
    381.13/571.71 = 121.15/x
  3. Step 3: Cross multiply
    381.13x = 571.71 × 121.15
  4. Step 4: Simplify right side
    381.13x = 69,262.06
  5. Step 5: Solve for x
    x = 69,262.06/381.13
  6. Step 6: Final answer
    x = 181.73

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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.