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Finding the Fourth Proportional to 272.80, 409.07 and 99.44

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Solution

The fourth proportional to 272.80, 409.07 and 99.44 is: 149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.80 : 409.07 = 99.44 : x
  2. Step 2: Convert to fraction form
    272.80/409.07 = 99.44/x
  3. Step 3: Cross multiply
    272.80x = 409.07 × 99.44
  4. Step 4: Simplify right side
    272.80x = 40,677.92
  5. Step 5: Solve for x
    x = 40,677.92/272.80
  6. Step 6: Final answer
    x = 149.11

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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.