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Finding the Fourth Proportional to 150.75, 226.23 and 106.19

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Solution

The fourth proportional to 150.75, 226.23 and 106.19 is: 159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 226.23 = 106.19 : x
  2. Step 2: Convert to fraction form
    150.75/226.23 = 106.19/x
  3. Step 3: Cross multiply
    150.75x = 226.23 × 106.19
  4. Step 4: Simplify right side
    150.75x = 24,022.23
  5. Step 5: Solve for x
    x = 24,022.23/150.75
  6. Step 6: Final answer
    x = 159.35

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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.