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Finding the Fourth Proportional to 250.87, 346.05 and 163.54

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Solution

The fourth proportional to 250.87, 346.05 and 163.54 is: 225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.87 : 346.05 = 163.54 : x
  2. Step 2: Convert to fraction form
    250.87/346.05 = 163.54/x
  3. Step 3: Cross multiply
    250.87x = 346.05 × 163.54
  4. Step 4: Simplify right side
    250.87x = 56,593.02
  5. Step 5: Solve for x
    x = 56,593.02/250.87
  6. Step 6: Final answer
    x = 225.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.