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Finding the Fourth Proportional to 163.02, 244.76 and 142.97

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Solution

The fourth proportional to 163.02, 244.76 and 142.97 is: 214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 244.76 = 142.97 : x
  2. Step 2: Convert to fraction form
    163.02/244.76 = 142.97/x
  3. Step 3: Cross multiply
    163.02x = 244.76 × 142.97
  4. Step 4: Simplify right side
    163.02x = 34,993.58
  5. Step 5: Solve for x
    x = 34,993.58/163.02
  6. Step 6: Final answer
    x = 214.66

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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.