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Finding the Fourth Proportional to 150.94, 226.25 and 108.06

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Solution

The fourth proportional to 150.94, 226.25 and 108.06 is: 161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 226.25 = 108.06 : x
  2. Step 2: Convert to fraction form
    150.94/226.25 = 108.06/x
  3. Step 3: Cross multiply
    150.94x = 226.25 × 108.06
  4. Step 4: Simplify right side
    150.94x = 24,448.58
  5. Step 5: Solve for x
    x = 24,448.58/150.94
  6. Step 6: Final answer
    x = 161.98

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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.