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Finding the Fourth Proportional to 301.43, 415.91 and 170.43

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Solution

The fourth proportional to 301.43, 415.91 and 170.43 is: 235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.43 : 415.91 = 170.43 : x
  2. Step 2: Convert to fraction form
    301.43/415.91 = 170.43/x
  3. Step 3: Cross multiply
    301.43x = 415.91 × 170.43
  4. Step 4: Simplify right side
    301.43x = 70,883.54
  5. Step 5: Solve for x
    x = 70,883.54/301.43
  6. Step 6: Final answer
    x = 235.16

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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.