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Finding the Fourth Proportional to 150.99, 227.64 and 149.04

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Solution

The fourth proportional to 150.99, 227.64 and 149.04 is: 224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.99 : 227.64 = 149.04 : x
  2. Step 2: Convert to fraction form
    150.99/227.64 = 149.04/x
  3. Step 3: Cross multiply
    150.99x = 227.64 × 149.04
  4. Step 4: Simplify right side
    150.99x = 33,928.36
  5. Step 5: Solve for x
    x = 33,928.36/150.99
  6. Step 6: Final answer
    x = 224.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.