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Finding the Fourth Proportional to 166.75, 250.13 and 52.75

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Solution

The fourth proportional to 166.75, 250.13 and 52.75 is: 79.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 250.13 = 52.75 : x
  2. Step 2: Convert to fraction form
    166.75/250.13 = 52.75/x
  3. Step 3: Cross multiply
    166.75x = 250.13 × 52.75
  4. Step 4: Simplify right side
    166.75x = 13,194.36
  5. Step 5: Solve for x
    x = 13,194.36/166.75
  6. Step 6: Final answer
    x = 79.13

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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.