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Finding the Fourth Proportional to 237, 327.23 and 163.47

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Solution

The fourth proportional to 237, 327.23 and 163.47 is: 225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237 : 327.23 = 163.47 : x
  2. Step 2: Convert to fraction form
    237/327.23 = 163.47/x
  3. Step 3: Cross multiply
    237x = 327.23 × 163.47
  4. Step 4: Simplify right side
    237x = 53,492.29
  5. Step 5: Solve for x
    x = 53,492.29/237
  6. Step 6: Final answer
    x = 225.71

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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.