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Finding the Fourth Proportional to 150.66, 226.01 and 109.66

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Solution

The fourth proportional to 150.66, 226.01 and 109.66 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.66 : 226.01 = 109.66 : x
  2. Step 2: Convert to fraction form
    150.66/226.01 = 109.66/x
  3. Step 3: Cross multiply
    150.66x = 226.01 × 109.66
  4. Step 4: Simplify right side
    150.66x = 24,783.97
  5. Step 5: Solve for x
    x = 24,783.97/150.66
  6. Step 6: Final answer
    x = 164.50

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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.