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Finding the Fourth Proportional to 301.26, 415.74 and 170.26

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Solution

The fourth proportional to 301.26, 415.74 and 170.26 is: 234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.26 : 415.74 = 170.26 : x
  2. Step 2: Convert to fraction form
    301.26/415.74 = 170.26/x
  3. Step 3: Cross multiply
    301.26x = 415.74 × 170.26
  4. Step 4: Simplify right side
    301.26x = 70,783.89
  5. Step 5: Solve for x
    x = 70,783.89/301.26
  6. Step 6: Final answer
    x = 234.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.