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Finding the Fourth Proportional to 163.92, 226.08 and 152.88

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Solution

The fourth proportional to 163.92, 226.08 and 152.88 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 226.08 = 152.88 : x
  2. Step 2: Convert to fraction form
    163.92/226.08 = 152.88/x
  3. Step 3: Cross multiply
    163.92x = 226.08 × 152.88
  4. Step 4: Simplify right side
    163.92x = 34,563.11
  5. Step 5: Solve for x
    x = 34,563.11/163.92
  6. Step 6: Final answer
    x = 210.85

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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.