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Finding the Fourth Proportional to 272.73, 409.17 and 99.42

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Solution

The fourth proportional to 272.73, 409.17 and 99.42 is: 149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.73 : 409.17 = 99.42 : x
  2. Step 2: Convert to fraction form
    272.73/409.17 = 99.42/x
  3. Step 3: Cross multiply
    272.73x = 409.17 × 99.42
  4. Step 4: Simplify right side
    272.73x = 40,679.68
  5. Step 5: Solve for x
    x = 40,679.68/272.73
  6. Step 6: Final answer
    x = 149.16

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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.