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Finding the Fourth Proportional to 198.63, 297.69 and 76.77

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Solution

The fourth proportional to 198.63, 297.69 and 76.77 is: 115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.63 : 297.69 = 76.77 : x
  2. Step 2: Convert to fraction form
    198.63/297.69 = 76.77/x
  3. Step 3: Cross multiply
    198.63x = 297.69 × 76.77
  4. Step 4: Simplify right side
    198.63x = 22,853.66
  5. Step 5: Solve for x
    x = 22,853.66/198.63
  6. Step 6: Final answer
    x = 115.06

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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.