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Finding the Fourth Proportional to 203.85, 305.64 and 82.08

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Solution

The fourth proportional to 203.85, 305.64 and 82.08 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 305.64 = 82.08 : x
  2. Step 2: Convert to fraction form
    203.85/305.64 = 82.08/x
  3. Step 3: Cross multiply
    203.85x = 305.64 × 82.08
  4. Step 4: Simplify right side
    203.85x = 25,086.93
  5. Step 5: Solve for x
    x = 25,086.93/203.85
  6. Step 6: Final answer
    x = 123.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.