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Finding the Fourth Proportional to 131.82, 196.40 and 122.50

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Solution

The fourth proportional to 131.82, 196.40 and 122.50 is: 182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.82 : 196.40 = 122.50 : x
  2. Step 2: Convert to fraction form
    131.82/196.40 = 122.50/x
  3. Step 3: Cross multiply
    131.82x = 196.40 × 122.50
  4. Step 4: Simplify right side
    131.82x = 24,059
  5. Step 5: Solve for x
    x = 24,059/131.82
  6. Step 6: Final answer
    x = 182.51

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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.