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Finding the Fourth Proportional to 166.35, 249.52 and 50.80

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Solution

The fourth proportional to 166.35, 249.52 and 50.80 is: 76.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.35 : 249.52 = 50.80 : x
  2. Step 2: Convert to fraction form
    166.35/249.52 = 50.80/x
  3. Step 3: Cross multiply
    166.35x = 249.52 × 50.80
  4. Step 4: Simplify right side
    166.35x = 12,675.62
  5. Step 5: Solve for x
    x = 12,675.62/166.35
  6. Step 6: Final answer
    x = 76.20

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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.