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Finding the Fourth Proportional to 163.63, 244.01 and 152.70

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Solution

The fourth proportional to 163.63, 244.01 and 152.70 is: 227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.63 : 244.01 = 152.70 : x
  2. Step 2: Convert to fraction form
    163.63/244.01 = 152.70/x
  3. Step 3: Cross multiply
    163.63x = 244.01 × 152.70
  4. Step 4: Simplify right side
    163.63x = 37,260.33
  5. Step 5: Solve for x
    x = 37,260.33/163.63
  6. Step 6: Final answer
    x = 227.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.