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Finding the Fourth Proportional to 148.67, 204.24 and 120.96

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Solution

The fourth proportional to 148.67, 204.24 and 120.96 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.67 : 204.24 = 120.96 : x
  2. Step 2: Convert to fraction form
    148.67/204.24 = 120.96/x
  3. Step 3: Cross multiply
    148.67x = 204.24 × 120.96
  4. Step 4: Simplify right side
    148.67x = 24,704.64
  5. Step 5: Solve for x
    x = 24,704.64/148.67
  6. Step 6: Final answer
    x = 166.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.