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Finding the Fourth Proportional to 132.98, 198.02 and 131.36

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Solution

The fourth proportional to 132.98, 198.02 and 131.36 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.98 : 198.02 = 131.36 : x
  2. Step 2: Convert to fraction form
    132.98/198.02 = 131.36/x
  3. Step 3: Cross multiply
    132.98x = 198.02 × 131.36
  4. Step 4: Simplify right side
    132.98x = 26,011.91
  5. Step 5: Solve for x
    x = 26,011.91/132.98
  6. Step 6: Final answer
    x = 195.61

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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.