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Finding the Fourth Proportional to 131.59, 196.32 and 119.80

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Solution

The fourth proportional to 131.59, 196.32 and 119.80 is: 178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.59 : 196.32 = 119.80 : x
  2. Step 2: Convert to fraction form
    131.59/196.32 = 119.80/x
  3. Step 3: Cross multiply
    131.59x = 196.32 × 119.80
  4. Step 4: Simplify right side
    131.59x = 23,518.84
  5. Step 5: Solve for x
    x = 23,518.84/131.59
  6. Step 6: Final answer
    x = 178.73

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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.