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Finding the Fourth Proportional to 272.99, 409.48 and 224.75

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Solution

The fourth proportional to 272.99, 409.48 and 224.75 is: 337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.99 : 409.48 = 224.75 : x
  2. Step 2: Convert to fraction form
    272.99/409.48 = 224.75/x
  3. Step 3: Cross multiply
    272.99x = 409.48 × 224.75
  4. Step 4: Simplify right side
    272.99x = 92,028.58
  5. Step 5: Solve for x
    x = 92,028.58/272.99
  6. Step 6: Final answer
    x = 337.12

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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.