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Finding the Fourth Proportional to 227.21, 340.00 and 150.05

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Solution

The fourth proportional to 227.21, 340.00 and 150.05 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.21 : 340.00 = 150.05 : x
  2. Step 2: Convert to fraction form
    227.21/340.00 = 150.05/x
  3. Step 3: Cross multiply
    227.21x = 340.00 × 150.05
  4. Step 4: Simplify right side
    227.21x = 51,017.47
  5. Step 5: Solve for x
    x = 51,017.47/227.21
  6. Step 6: Final answer
    x = 224.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.