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Finding the Fourth Proportional to 148.63, 223.81 and 110.38

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Solution

The fourth proportional to 148.63, 223.81 and 110.38 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.63 : 223.81 = 110.38 : x
  2. Step 2: Convert to fraction form
    148.63/223.81 = 110.38/x
  3. Step 3: Cross multiply
    148.63x = 223.81 × 110.38
  4. Step 4: Simplify right side
    148.63x = 24,704.15
  5. Step 5: Solve for x
    x = 24,704.15/148.63
  6. Step 6: Final answer
    x = 166.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.