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Finding the Fourth Proportional to 170.25, 234.63 and 157.18

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Solution

The fourth proportional to 170.25, 234.63 and 157.18 is: 216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.25 : 234.63 = 157.18 : x
  2. Step 2: Convert to fraction form
    170.25/234.63 = 157.18/x
  3. Step 3: Cross multiply
    170.25x = 234.63 × 157.18
  4. Step 4: Simplify right side
    170.25x = 36,879.14
  5. Step 5: Solve for x
    x = 36,879.14/170.25
  6. Step 6: Final answer
    x = 216.62

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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.