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Finding the Fourth Proportional to 272.33, 408.49 and 118.25

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Solution

The fourth proportional to 272.33, 408.49 and 118.25 is: 177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.33 : 408.49 = 118.25 : x
  2. Step 2: Convert to fraction form
    272.33/408.49 = 118.25/x
  3. Step 3: Cross multiply
    272.33x = 408.49 × 118.25
  4. Step 4: Simplify right side
    272.33x = 48,303.22
  5. Step 5: Solve for x
    x = 48,303.22/272.33
  6. Step 6: Final answer
    x = 177.37

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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.