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Finding the Fourth Proportional to 163.52, 243.63 and 159.17

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Solution

The fourth proportional to 163.52, 243.63 and 159.17 is: 237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.52 : 243.63 = 159.17 : x
  2. Step 2: Convert to fraction form
    163.52/243.63 = 159.17/x
  3. Step 3: Cross multiply
    163.52x = 243.63 × 159.17
  4. Step 4: Simplify right side
    163.52x = 38,778.59
  5. Step 5: Solve for x
    x = 38,778.59/163.52
  6. Step 6: Final answer
    x = 237.15

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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.