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Finding the Fourth Proportional to 203.52, 305.55 and 186.54

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Solution

The fourth proportional to 203.52, 305.55 and 186.54 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 305.55 = 186.54 : x
  2. Step 2: Convert to fraction form
    203.52/305.55 = 186.54/x
  3. Step 3: Cross multiply
    203.52x = 305.55 × 186.54
  4. Step 4: Simplify right side
    203.52x = 56,997.30
  5. Step 5: Solve for x
    x = 56,997.30/203.52
  6. Step 6: Final answer
    x = 280.06

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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.