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Finding the Fourth Proportional to 369.23, 553.97 and 163.64

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Solution

The fourth proportional to 369.23, 553.97 and 163.64 is: 245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.23 : 553.97 = 163.64 : x
  2. Step 2: Convert to fraction form
    369.23/553.97 = 163.64/x
  3. Step 3: Cross multiply
    369.23x = 553.97 × 163.64
  4. Step 4: Simplify right side
    369.23x = 90,650.33
  5. Step 5: Solve for x
    x = 90,650.33/369.23
  6. Step 6: Final answer
    x = 245.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.