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Finding the Fourth Proportional to 301.96, 416.64 and 170.97

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Solution

The fourth proportional to 301.96, 416.64 and 170.97 is: 235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 416.64 = 170.97 : x
  2. Step 2: Convert to fraction form
    301.96/416.64 = 170.97/x
  3. Step 3: Cross multiply
    301.96x = 416.64 × 170.97
  4. Step 4: Simplify right side
    301.96x = 71,232.94
  5. Step 5: Solve for x
    x = 71,232.94/301.96
  6. Step 6: Final answer
    x = 235.90

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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.