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Finding the Fourth Proportional to 272.31, 408.66 and 135.32

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Solution

The fourth proportional to 272.31, 408.66 and 135.32 is: 203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.31 : 408.66 = 135.32 : x
  2. Step 2: Convert to fraction form
    272.31/408.66 = 135.32/x
  3. Step 3: Cross multiply
    272.31x = 408.66 × 135.32
  4. Step 4: Simplify right side
    272.31x = 55,299.87
  5. Step 5: Solve for x
    x = 55,299.87/272.31
  6. Step 6: Final answer
    x = 203.08

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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.