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Finding the Fourth Proportional to 167.31, 251.00 and 51.76

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Solution

The fourth proportional to 167.31, 251.00 and 51.76 is: 77.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.31 : 251.00 = 51.76 : x
  2. Step 2: Convert to fraction form
    167.31/251.00 = 51.76/x
  3. Step 3: Cross multiply
    167.31x = 251.00 × 51.76
  4. Step 4: Simplify right side
    167.31x = 12,991.26
  5. Step 5: Solve for x
    x = 12,991.26/167.31
  6. Step 6: Final answer
    x = 77.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.