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Finding the Fourth Proportional to 132.60, 197.86 and 131.84

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Solution

The fourth proportional to 132.60, 197.86 and 131.84 is: 196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.60 : 197.86 = 131.84 : x
  2. Step 2: Convert to fraction form
    132.60/197.86 = 131.84/x
  3. Step 3: Cross multiply
    132.60x = 197.86 × 131.84
  4. Step 4: Simplify right side
    132.60x = 26,085.86
  5. Step 5: Solve for x
    x = 26,085.86/132.60
  6. Step 6: Final answer
    x = 196.73

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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.