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Finding the Fourth Proportional to 132.86, 197.74 and 132.32

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Solution

The fourth proportional to 132.86, 197.74 and 132.32 is: 196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.86 : 197.74 = 132.32 : x
  2. Step 2: Convert to fraction form
    132.86/197.74 = 132.32/x
  3. Step 3: Cross multiply
    132.86x = 197.74 × 132.32
  4. Step 4: Simplify right side
    132.86x = 26,164.96
  5. Step 5: Solve for x
    x = 26,164.96/132.86
  6. Step 6: Final answer
    x = 196.94

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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.