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Finding the Fourth Proportional to 150.96, 227.78 and 145.33

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Solution

The fourth proportional to 150.96, 227.78 and 145.33 is: 219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 227.78 = 145.33 : x
  2. Step 2: Convert to fraction form
    150.96/227.78 = 145.33/x
  3. Step 3: Cross multiply
    150.96x = 227.78 × 145.33
  4. Step 4: Simplify right side
    150.96x = 33,103.27
  5. Step 5: Solve for x
    x = 33,103.27/150.96
  6. Step 6: Final answer
    x = 219.29

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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.