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Finding the Fourth Proportional to 163.05, 226.05 and 154.83

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Solution

The fourth proportional to 163.05, 226.05 and 154.83 is: 214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.05 : 226.05 = 154.83 : x
  2. Step 2: Convert to fraction form
    163.05/226.05 = 154.83/x
  3. Step 3: Cross multiply
    163.05x = 226.05 × 154.83
  4. Step 4: Simplify right side
    163.05x = 34,999.32
  5. Step 5: Solve for x
    x = 34,999.32/163.05
  6. Step 6: Final answer
    x = 214.65

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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.