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Finding the Fourth Proportional to 381.13, 525.93 and 223.84

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Solution

The fourth proportional to 381.13, 525.93 and 223.84 is: 308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.13 : 525.93 = 223.84 : x
  2. Step 2: Convert to fraction form
    381.13/525.93 = 223.84/x
  3. Step 3: Cross multiply
    381.13x = 525.93 × 223.84
  4. Step 4: Simplify right side
    381.13x = 117,724.17
  5. Step 5: Solve for x
    x = 117,724.17/381.13
  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.