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Finding the Fourth Proportional to 163.86, 225.96 and 120.30

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Solution

The fourth proportional to 163.86, 225.96 and 120.30 is: 165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.86 : 225.96 = 120.30 : x
  2. Step 2: Convert to fraction form
    163.86/225.96 = 120.30/x
  3. Step 3: Cross multiply
    163.86x = 225.96 × 120.30
  4. Step 4: Simplify right side
    163.86x = 27,182.99
  5. Step 5: Solve for x
    x = 27,182.99/163.86
  6. Step 6: Final answer
    x = 165.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.