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Finding the Fourth Proportional to 167.63, 251.25 and 116.10

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Solution

The fourth proportional to 167.63, 251.25 and 116.10 is: 174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.63 : 251.25 = 116.10 : x
  2. Step 2: Convert to fraction form
    167.63/251.25 = 116.10/x
  3. Step 3: Cross multiply
    167.63x = 251.25 × 116.10
  4. Step 4: Simplify right side
    167.63x = 29,170.13
  5. Step 5: Solve for x
    x = 29,170.13/167.63
  6. Step 6: Final answer
    x = 174.02

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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.