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Finding the Fourth Proportional to 272.38, 408.75 and 128.14

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Solution

The fourth proportional to 272.38, 408.75 and 128.14 is: 192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.38 : 408.75 = 128.14 : x
  2. Step 2: Convert to fraction form
    272.38/408.75 = 128.14/x
  3. Step 3: Cross multiply
    272.38x = 408.75 × 128.14
  4. Step 4: Simplify right side
    272.38x = 52,377.23
  5. Step 5: Solve for x
    x = 52,377.23/272.38
  6. Step 6: Final answer
    x = 192.29

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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.