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Finding the Fourth Proportional to 381.06, 525.89 and 223.82

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Solution

The fourth proportional to 381.06, 525.89 and 223.82 is: 308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 525.89 = 223.82 : x
  2. Step 2: Convert to fraction form
    381.06/525.89 = 223.82/x
  3. Step 3: Cross multiply
    381.06x = 525.89 × 223.82
  4. Step 4: Simplify right side
    381.06x = 117,700.95
  5. Step 5: Solve for x
    x = 117,700.95/381.06
  6. Step 6: Final answer
    x = 308.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.