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Finding the Fourth Proportional to 380.80, 525.42 and 223.43

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Solution

The fourth proportional to 380.80, 525.42 and 223.43 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.80 : 525.42 = 223.43 : x
  2. Step 2: Convert to fraction form
    380.80/525.42 = 223.43/x
  3. Step 3: Cross multiply
    380.80x = 525.42 × 223.43
  4. Step 4: Simplify right side
    380.80x = 117,391.96
  5. Step 5: Solve for x
    x = 117,391.96/380.80
  6. Step 6: Final answer
    x = 308.28

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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.