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Finding the Fourth Proportional to 163.66, 244.98 and 160.24

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Solution

The fourth proportional to 163.66, 244.98 and 160.24 is: 239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.66 : 244.98 = 160.24 : x
  2. Step 2: Convert to fraction form
    163.66/244.98 = 160.24/x
  3. Step 3: Cross multiply
    163.66x = 244.98 × 160.24
  4. Step 4: Simplify right side
    163.66x = 39,255.60
  5. Step 5: Solve for x
    x = 39,255.60/163.66
  6. Step 6: Final answer
    x = 239.86

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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.