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Finding the Fourth Proportional to 166.84, 250.28 and 112.80

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Solution

The fourth proportional to 166.84, 250.28 and 112.80 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.84 : 250.28 = 112.80 : x
  2. Step 2: Convert to fraction form
    166.84/250.28 = 112.80/x
  3. Step 3: Cross multiply
    166.84x = 250.28 × 112.80
  4. Step 4: Simplify right side
    166.84x = 28,231.58
  5. Step 5: Solve for x
    x = 28,231.58/166.84
  6. Step 6: Final answer
    x = 169.21

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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.