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Finding the Fourth Proportional to 167.34, 251.02 and 51.80

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Solution

The fourth proportional to 167.34, 251.02 and 51.80 is: 77.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 251.02 = 51.80 : x
  2. Step 2: Convert to fraction form
    167.34/251.02 = 51.80/x
  3. Step 3: Cross multiply
    167.34x = 251.02 × 51.80
  4. Step 4: Simplify right side
    167.34x = 13,002.84
  5. Step 5: Solve for x
    x = 13,002.84/167.34
  6. Step 6: Final answer
    x = 77.70

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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.