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Finding the Fourth Proportional to 170.26, 234.92 and 114.98

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Solution

The fourth proportional to 170.26, 234.92 and 114.98 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.26 : 234.92 = 114.98 : x
  2. Step 2: Convert to fraction form
    170.26/234.92 = 114.98/x
  3. Step 3: Cross multiply
    170.26x = 234.92 × 114.98
  4. Step 4: Simplify right side
    170.26x = 27,010.21
  5. Step 5: Solve for x
    x = 27,010.21/170.26
  6. Step 6: Final answer
    x = 158.64

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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.