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Finding the Fourth Proportional to 262.33, 362.18 and 203.21

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Solution

The fourth proportional to 262.33, 362.18 and 203.21 is: 280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.33 : 362.18 = 203.21 : x
  2. Step 2: Convert to fraction form
    262.33/362.18 = 203.21/x
  3. Step 3: Cross multiply
    262.33x = 362.18 × 203.21
  4. Step 4: Simplify right side
    262.33x = 73,597.29
  5. Step 5: Solve for x
    x = 73,597.29/262.33
  6. Step 6: Final answer
    x = 280.56

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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.