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Finding the Fourth Proportional to 198.27, 297.41 and 117

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Solution

The fourth proportional to 198.27, 297.41 and 117 is: 175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.27 : 297.41 = 117 : x
  2. Step 2: Convert to fraction form
    198.27/297.41 = 117/x
  3. Step 3: Cross multiply
    198.27x = 297.41 × 117
  4. Step 4: Simplify right side
    198.27x = 34,796.39
  5. Step 5: Solve for x
    x = 34,796.39/198.27
  6. Step 6: Final answer
    x = 175.50

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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.