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Finding the Fourth Proportional to 262.12, 360.90 and 203.56

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Solution

The fourth proportional to 262.12, 360.90 and 203.56 is: 280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.12 : 360.90 = 203.56 : x
  2. Step 2: Convert to fraction form
    262.12/360.90 = 203.56/x
  3. Step 3: Cross multiply
    262.12x = 360.90 × 203.56
  4. Step 4: Simplify right side
    262.12x = 73,464.80
  5. Step 5: Solve for x
    x = 73,464.80/262.12
  6. Step 6: Final answer
    x = 280.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.