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Finding the Fourth Proportional to 272.96, 408.24 and 237.44

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Solution

The fourth proportional to 272.96, 408.24 and 237.44 is: 355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.96 : 408.24 = 237.44 : x
  2. Step 2: Convert to fraction form
    272.96/408.24 = 237.44/x
  3. Step 3: Cross multiply
    272.96x = 408.24 × 237.44
  4. Step 4: Simplify right side
    272.96x = 96,932.51
  5. Step 5: Solve for x
    x = 96,932.51/272.96
  6. Step 6: Final answer
    x = 355.12

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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.