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Finding the Fourth Proportional to 250.78, 346.20 and 163.44

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Solution

The fourth proportional to 250.78, 346.20 and 163.44 is: 225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.78 : 346.20 = 163.44 : x
  2. Step 2: Convert to fraction form
    250.78/346.20 = 163.44/x
  3. Step 3: Cross multiply
    250.78x = 346.20 × 163.44
  4. Step 4: Simplify right side
    250.78x = 56,582.93
  5. Step 5: Solve for x
    x = 56,582.93/250.78
  6. Step 6: Final answer
    x = 225.63

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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.