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Finding the Fourth Proportional to 163.01, 224.87 and 136.81

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Solution

The fourth proportional to 163.01, 224.87 and 136.81 is: 188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.01 : 224.87 = 136.81 : x
  2. Step 2: Convert to fraction form
    163.01/224.87 = 136.81/x
  3. Step 3: Cross multiply
    163.01x = 224.87 × 136.81
  4. Step 4: Simplify right side
    163.01x = 30,763.78
  5. Step 5: Solve for x
    x = 30,763.78/163.01
  6. Step 6: Final answer
    x = 188.72

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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.