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Finding the Fourth Proportional to 167.25, 251.08 and 106.64

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Solution

The fourth proportional to 167.25, 251.08 and 106.64 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.25 : 251.08 = 106.64 : x
  2. Step 2: Convert to fraction form
    167.25/251.08 = 106.64/x
  3. Step 3: Cross multiply
    167.25x = 251.08 × 106.64
  4. Step 4: Simplify right side
    167.25x = 26,775.17
  5. Step 5: Solve for x
    x = 26,775.17/167.25
  6. Step 6: Final answer
    x = 160.09

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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.