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Finding the Fourth Proportional to 163.05, 225.92 and 159.59

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Solution

The fourth proportional to 163.05, 225.92 and 159.59 is: 221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.05 : 225.92 = 159.59 : x
  2. Step 2: Convert to fraction form
    163.05/225.92 = 159.59/x
  3. Step 3: Cross multiply
    163.05x = 225.92 × 159.59
  4. Step 4: Simplify right side
    163.05x = 36,053.77
  5. Step 5: Solve for x
    x = 36,053.77/163.05
  6. Step 6: Final answer
    x = 221.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.