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Finding the Fourth Proportional to 272.26, 408.64 and 135.46

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Solution

The fourth proportional to 272.26, 408.64 and 135.46 is: 203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.26 : 408.64 = 135.46 : x
  2. Step 2: Convert to fraction form
    272.26/408.64 = 135.46/x
  3. Step 3: Cross multiply
    272.26x = 408.64 × 135.46
  4. Step 4: Simplify right side
    272.26x = 55,354.37
  5. Step 5: Solve for x
    x = 55,354.37/272.26
  6. Step 6: Final answer
    x = 203.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.