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Finding the Fourth Proportional to 139.26, 209.16 and 117.78

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Solution

The fourth proportional to 139.26, 209.16 and 117.78 is: 176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.26 : 209.16 = 117.78 : x
  2. Step 2: Convert to fraction form
    139.26/209.16 = 117.78/x
  3. Step 3: Cross multiply
    139.26x = 209.16 × 117.78
  4. Step 4: Simplify right side
    139.26x = 24,634.86
  5. Step 5: Solve for x
    x = 24,634.86/139.26
  6. Step 6: Final answer
    x = 176.90

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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.