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Finding the Fourth Proportional to 167.54, 251.60 and 147.03

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Solution

The fourth proportional to 167.54, 251.60 and 147.03 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 251.60 = 147.03 : x
  2. Step 2: Convert to fraction form
    167.54/251.60 = 147.03/x
  3. Step 3: Cross multiply
    167.54x = 251.60 × 147.03
  4. Step 4: Simplify right side
    167.54x = 36,993.12
  5. Step 5: Solve for x
    x = 36,993.12/167.54
  6. Step 6: Final answer
    x = 220.81

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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.