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Finding the Fourth Proportional to 163.66, 225.68 and 116.44

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Solution

The fourth proportional to 163.66, 225.68 and 116.44 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.66 : 225.68 = 116.44 : x
  2. Step 2: Convert to fraction form
    163.66/225.68 = 116.44/x
  3. Step 3: Cross multiply
    163.66x = 225.68 × 116.44
  4. Step 4: Simplify right side
    163.66x = 26,278.18
  5. Step 5: Solve for x
    x = 26,278.18/163.66
  6. Step 6: Final answer
    x = 160.57

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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.