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Finding the Fourth Proportional to 203.26, 305.44 and 142.78

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Solution

The fourth proportional to 203.26, 305.44 and 142.78 is: 214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.26 : 305.44 = 142.78 : x
  2. Step 2: Convert to fraction form
    203.26/305.44 = 142.78/x
  3. Step 3: Cross multiply
    203.26x = 305.44 × 142.78
  4. Step 4: Simplify right side
    203.26x = 43,610.72
  5. Step 5: Solve for x
    x = 43,610.72/203.26
  6. Step 6: Final answer
    x = 214.56

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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.