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Finding the Fourth Proportional to 270.06, 404.40 and 224.56

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Solution

The fourth proportional to 270.06, 404.40 and 224.56 is: 336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.06 : 404.40 = 224.56 : x
  2. Step 2: Convert to fraction form
    270.06/404.40 = 224.56/x
  3. Step 3: Cross multiply
    270.06x = 404.40 × 224.56
  4. Step 4: Simplify right side
    270.06x = 90,812.06
  5. Step 5: Solve for x
    x = 90,812.06/270.06
  6. Step 6: Final answer
    x = 336.27

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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.