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Finding the Fourth Proportional to 203.82, 305.75 and 101.17

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Solution

The fourth proportional to 203.82, 305.75 and 101.17 is: 151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.82 : 305.75 = 101.17 : x
  2. Step 2: Convert to fraction form
    203.82/305.75 = 101.17/x
  3. Step 3: Cross multiply
    203.82x = 305.75 × 101.17
  4. Step 4: Simplify right side
    203.82x = 30,932.73
  5. Step 5: Solve for x
    x = 30,932.73/203.82
  6. Step 6: Final answer
    x = 151.76

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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.