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Finding the Fourth Proportional to 237.06, 327.02 and 163.20

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Solution

The fourth proportional to 237.06, 327.02 and 163.20 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.06 : 327.02 = 163.20 : x
  2. Step 2: Convert to fraction form
    237.06/327.02 = 163.20/x
  3. Step 3: Cross multiply
    237.06x = 327.02 × 163.20
  4. Step 4: Simplify right side
    237.06x = 53,369.66
  5. Step 5: Solve for x
    x = 53,369.66/237.06
  6. Step 6: Final answer
    x = 225.13

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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.