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Finding the Fourth Proportional to 134.96, 200.86 and 132.44

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Solution

The fourth proportional to 134.96, 200.86 and 132.44 is: 197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.96 : 200.86 = 132.44 : x
  2. Step 2: Convert to fraction form
    134.96/200.86 = 132.44/x
  3. Step 3: Cross multiply
    134.96x = 200.86 × 132.44
  4. Step 4: Simplify right side
    134.96x = 26,601.90
  5. Step 5: Solve for x
    x = 26,601.90/134.96
  6. Step 6: Final answer
    x = 197.11

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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.