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Finding the Fourth Proportional to 198.21, 297.07 and 106.77

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Solution

The fourth proportional to 198.21, 297.07 and 106.77 is: 160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.21 : 297.07 = 106.77 : x
  2. Step 2: Convert to fraction form
    198.21/297.07 = 106.77/x
  3. Step 3: Cross multiply
    198.21x = 297.07 × 106.77
  4. Step 4: Simplify right side
    198.21x = 31,718.16
  5. Step 5: Solve for x
    x = 31,718.16/198.21
  6. Step 6: Final answer
    x = 160.02

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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.