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Finding the Fourth Proportional to 150.64, 226.11 and 107.36

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Solution

The fourth proportional to 150.64, 226.11 and 107.36 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.64 : 226.11 = 107.36 : x
  2. Step 2: Convert to fraction form
    150.64/226.11 = 107.36/x
  3. Step 3: Cross multiply
    150.64x = 226.11 × 107.36
  4. Step 4: Simplify right side
    150.64x = 24,275.17
  5. Step 5: Solve for x
    x = 24,275.17/150.64
  6. Step 6: Final answer
    x = 161.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.