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Finding the Fourth Proportional to 203.55, 305.87 and 111.07

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Solution

The fourth proportional to 203.55, 305.87 and 111.07 is: 166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.55 : 305.87 = 111.07 : x
  2. Step 2: Convert to fraction form
    203.55/305.87 = 111.07/x
  3. Step 3: Cross multiply
    203.55x = 305.87 × 111.07
  4. Step 4: Simplify right side
    203.55x = 33,972.98
  5. Step 5: Solve for x
    x = 33,972.98/203.55
  6. Step 6: Final answer
    x = 166.90

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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.