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Finding the Fourth Proportional to 137.83, 206.44 and 119.31

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Solution

The fourth proportional to 137.83, 206.44 and 119.31 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.83 : 206.44 = 119.31 : x
  2. Step 2: Convert to fraction form
    137.83/206.44 = 119.31/x
  3. Step 3: Cross multiply
    137.83x = 206.44 × 119.31
  4. Step 4: Simplify right side
    137.83x = 24,630.36
  5. Step 5: Solve for x
    x = 24,630.36/137.83
  6. Step 6: Final answer
    x = 178.70

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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.