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Finding the Fourth Proportional to 407.26, 610.92 and 163.84

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Solution

The fourth proportional to 407.26, 610.92 and 163.84 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.26 : 610.92 = 163.84 : x
  2. Step 2: Convert to fraction form
    407.26/610.92 = 163.84/x
  3. Step 3: Cross multiply
    407.26x = 610.92 × 163.84
  4. Step 4: Simplify right side
    407.26x = 100,093.13
  5. Step 5: Solve for x
    x = 100,093.13/407.26
  6. Step 6: Final answer
    x = 245.77

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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.