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Finding the Fourth Proportional to 203.82, 305.77 and 95.55

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Solution

The fourth proportional to 203.82, 305.77 and 95.55 is: 143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.82 : 305.77 = 95.55 : x
  2. Step 2: Convert to fraction form
    203.82/305.77 = 95.55/x
  3. Step 3: Cross multiply
    203.82x = 305.77 × 95.55
  4. Step 4: Simplify right side
    203.82x = 29,215.56
  5. Step 5: Solve for x
    x = 29,215.56/203.82
  6. Step 6: Final answer
    x = 143.34

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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.