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Finding the Fourth Proportional to 150.56, 225.38 and 109.97

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Solution

The fourth proportional to 150.56, 225.38 and 109.97 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 225.38 = 109.97 : x
  2. Step 2: Convert to fraction form
    150.56/225.38 = 109.97/x
  3. Step 3: Cross multiply
    150.56x = 225.38 × 109.97
  4. Step 4: Simplify right side
    150.56x = 24,785.04
  5. Step 5: Solve for x
    x = 24,785.04/150.56
  6. Step 6: Final answer
    x = 164.62

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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.