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Finding the Fourth Proportional to 150.67, 225.84 and 110.29

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Solution

The fourth proportional to 150.67, 225.84 and 110.29 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.67 : 225.84 = 110.29 : x
  2. Step 2: Convert to fraction form
    150.67/225.84 = 110.29/x
  3. Step 3: Cross multiply
    150.67x = 225.84 × 110.29
  4. Step 4: Simplify right side
    150.67x = 24,907.89
  5. Step 5: Solve for x
    x = 24,907.89/150.67
  6. Step 6: Final answer
    x = 165.31

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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.