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Finding the Fourth Proportional to 150.20, 225.34 and 112.18

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Solution

The fourth proportional to 150.20, 225.34 and 112.18 is: 168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.20 : 225.34 = 112.18 : x
  2. Step 2: Convert to fraction form
    150.20/225.34 = 112.18/x
  3. Step 3: Cross multiply
    150.20x = 225.34 × 112.18
  4. Step 4: Simplify right side
    150.20x = 25,278.64
  5. Step 5: Solve for x
    x = 25,278.64/150.20
  6. Step 6: Final answer
    x = 168.30

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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.