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Finding the Fourth Proportional to 167.53, 251.27 and 45.80

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Solution

The fourth proportional to 167.53, 251.27 and 45.80 is: 68.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.53 : 251.27 = 45.80 : x
  2. Step 2: Convert to fraction form
    167.53/251.27 = 45.80/x
  3. Step 3: Cross multiply
    167.53x = 251.27 × 45.80
  4. Step 4: Simplify right side
    167.53x = 11,506.68
  5. Step 5: Solve for x
    x = 11,506.68/167.53
  6. Step 6: Final answer
    x = 68.68

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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.