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Finding the Fourth Proportional to 163.76, 225.33 and 159

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Solution

The fourth proportional to 163.76, 225.33 and 159 is: 218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.76 : 225.33 = 159 : x
  2. Step 2: Convert to fraction form
    163.76/225.33 = 159/x
  3. Step 3: Cross multiply
    163.76x = 225.33 × 159
  4. Step 4: Simplify right side
    163.76x = 35,827.47
  5. Step 5: Solve for x
    x = 35,827.47/163.76
  6. Step 6: Final answer
    x = 218.79

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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.