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Finding the Fourth Proportional to 163.16, 226.10 and 160.08

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Solution

The fourth proportional to 163.16, 226.10 and 160.08 is: 221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.16 : 226.10 = 160.08 : x
  2. Step 2: Convert to fraction form
    163.16/226.10 = 160.08/x
  3. Step 3: Cross multiply
    163.16x = 226.10 × 160.08
  4. Step 4: Simplify right side
    163.16x = 36,192.16
  5. Step 5: Solve for x
    x = 36,192.16/163.16
  6. Step 6: Final answer
    x = 221.83

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Why These Related Problems?

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