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Finding the Fourth Proportional to 166.96, 250.52 and 142.80

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Solution

The fourth proportional to 166.96, 250.52 and 142.80 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 250.52 = 142.80 : x
  2. Step 2: Convert to fraction form
    166.96/250.52 = 142.80/x
  3. Step 3: Cross multiply
    166.96x = 250.52 × 142.80
  4. Step 4: Simplify right side
    166.96x = 35,774.26
  5. Step 5: Solve for x
    x = 35,774.26/166.96
  6. Step 6: Final answer
    x = 214.27

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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.