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Finding the Fourth Proportional to 163.74, 245.49 and 139.86

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Solution

The fourth proportional to 163.74, 245.49 and 139.86 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.74 : 245.49 = 139.86 : x
  2. Step 2: Convert to fraction form
    163.74/245.49 = 139.86/x
  3. Step 3: Cross multiply
    163.74x = 245.49 × 139.86
  4. Step 4: Simplify right side
    163.74x = 34,334.23
  5. Step 5: Solve for x
    x = 34,334.23/163.74
  6. Step 6: Final answer
    x = 209.69

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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.