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Finding the Fourth Proportional to 381.06, 571.60 and 124.56

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Solution

The fourth proportional to 381.06, 571.60 and 124.56 is: 186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 571.60 = 124.56 : x
  2. Step 2: Convert to fraction form
    381.06/571.60 = 124.56/x
  3. Step 3: Cross multiply
    381.06x = 571.60 × 124.56
  4. Step 4: Simplify right side
    381.06x = 71,199.30
  5. Step 5: Solve for x
    x = 71,199.30/381.06
  6. Step 6: Final answer
    x = 186.84

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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.