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Finding the Fourth Proportional to 296.44, 409.05 and 163.64

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Solution

The fourth proportional to 296.44, 409.05 and 163.64 is: 225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 409.05 = 163.64 : x
  2. Step 2: Convert to fraction form
    296.44/409.05 = 163.64/x
  3. Step 3: Cross multiply
    296.44x = 409.05 × 163.64
  4. Step 4: Simplify right side
    296.44x = 66,937.96
  5. Step 5: Solve for x
    x = 66,937.96/296.44
  6. Step 6: Final answer
    x = 225.81

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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.