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Finding the Fourth Proportional to 272.16, 408.14 and 98.80

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Solution

The fourth proportional to 272.16, 408.14 and 98.80 is: 148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.16 : 408.14 = 98.80 : x
  2. Step 2: Convert to fraction form
    272.16/408.14 = 98.80/x
  3. Step 3: Cross multiply
    272.16x = 408.14 × 98.80
  4. Step 4: Simplify right side
    272.16x = 40,324.23
  5. Step 5: Solve for x
    x = 40,324.23/272.16
  6. Step 6: Final answer
    x = 148.16

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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.