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Finding the Fourth Proportional to 272.36, 409.36 and 224.58

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Solution

The fourth proportional to 272.36, 409.36 and 224.58 is: 337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.36 : 409.36 = 224.58 : x
  2. Step 2: Convert to fraction form
    272.36/409.36 = 224.58/x
  3. Step 3: Cross multiply
    272.36x = 409.36 × 224.58
  4. Step 4: Simplify right side
    272.36x = 91,934.07
  5. Step 5: Solve for x
    x = 91,934.07/272.36
  6. Step 6: Final answer
    x = 337.55

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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.