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Finding the Fourth Proportional to 198.77, 297.75 and 160.05

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Solution

The fourth proportional to 198.77, 297.75 and 160.05 is: 239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.77 : 297.75 = 160.05 : x
  2. Step 2: Convert to fraction form
    198.77/297.75 = 160.05/x
  3. Step 3: Cross multiply
    198.77x = 297.75 × 160.05
  4. Step 4: Simplify right side
    198.77x = 47,654.89
  5. Step 5: Solve for x
    x = 47,654.89/198.77
  6. Step 6: Final answer
    x = 239.75

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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.