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Finding the Fourth Proportional to 301.86, 416.64 and 170.88

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Solution

The fourth proportional to 301.86, 416.64 and 170.88 is: 235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 416.64 = 170.88 : x
  2. Step 2: Convert to fraction form
    301.86/416.64 = 170.88/x
  3. Step 3: Cross multiply
    301.86x = 416.64 × 170.88
  4. Step 4: Simplify right side
    301.86x = 71,195.44
  5. Step 5: Solve for x
    x = 71,195.44/301.86
  6. Step 6: Final answer
    x = 235.86

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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.