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Finding the Fourth Proportional to 148.54, 221.77 and 133.96

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Solution

The fourth proportional to 148.54, 221.77 and 133.96 is: 200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.54 : 221.77 = 133.96 : x
  2. Step 2: Convert to fraction form
    148.54/221.77 = 133.96/x
  3. Step 3: Cross multiply
    148.54x = 221.77 × 133.96
  4. Step 4: Simplify right side
    148.54x = 29,708.31
  5. Step 5: Solve for x
    x = 29,708.31/148.54
  6. Step 6: Final answer
    x = 200.00

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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.