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Finding the Fourth Proportional to 198.01, 296.97 and 106.66

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Solution

The fourth proportional to 198.01, 296.97 and 106.66 is: 159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.01 : 296.97 = 106.66 : x
  2. Step 2: Convert to fraction form
    198.01/296.97 = 106.66/x
  3. Step 3: Cross multiply
    198.01x = 296.97 × 106.66
  4. Step 4: Simplify right side
    198.01x = 31,674.82
  5. Step 5: Solve for x
    x = 31,674.82/198.01
  6. Step 6: Final answer
    x = 159.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.