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Finding the Fourth Proportional to 301.97, 416.79 and 171.02

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Solution

The fourth proportional to 301.97, 416.79 and 171.02 is: 236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.97 : 416.79 = 171.02 : x
  2. Step 2: Convert to fraction form
    301.97/416.79 = 171.02/x
  3. Step 3: Cross multiply
    301.97x = 416.79 × 171.02
  4. Step 4: Simplify right side
    301.97x = 71,279.43
  5. Step 5: Solve for x
    x = 71,279.43/301.97
  6. Step 6: Final answer
    x = 236.05

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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.