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Finding the Fourth Proportional to 250.92, 375.42 and 165

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Solution

The fourth proportional to 250.92, 375.42 and 165 is: 246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.92 : 375.42 = 165 : x
  2. Step 2: Convert to fraction form
    250.92/375.42 = 165/x
  3. Step 3: Cross multiply
    250.92x = 375.42 × 165
  4. Step 4: Simplify right side
    250.92x = 61,944.30
  5. Step 5: Solve for x
    x = 61,944.30/250.92
  6. Step 6: Final answer
    x = 246.87

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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.