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Finding the Fourth Proportional to 166.96, 250.68 and 145.84

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Solution

The fourth proportional to 166.96, 250.68 and 145.84 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 250.68 = 145.84 : x
  2. Step 2: Convert to fraction form
    166.96/250.68 = 145.84/x
  3. Step 3: Cross multiply
    166.96x = 250.68 × 145.84
  4. Step 4: Simplify right side
    166.96x = 36,559.17
  5. Step 5: Solve for x
    x = 36,559.17/166.96
  6. Step 6: Final answer
    x = 218.97

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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.