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Finding the Fourth Proportional to 148.41, 221.22 and 138.15

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Solution

The fourth proportional to 148.41, 221.22 and 138.15 is: 205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.41 : 221.22 = 138.15 : x
  2. Step 2: Convert to fraction form
    148.41/221.22 = 138.15/x
  3. Step 3: Cross multiply
    148.41x = 221.22 × 138.15
  4. Step 4: Simplify right side
    148.41x = 30,561.54
  5. Step 5: Solve for x
    x = 30,561.54/148.41
  6. Step 6: Final answer
    x = 205.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.