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Finding the Fourth Proportional to 198.96, 274.59 and 116.07

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Solution

The fourth proportional to 198.96, 274.59 and 116.07 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.96 : 274.59 = 116.07 : x
  2. Step 2: Convert to fraction form
    198.96/274.59 = 116.07/x
  3. Step 3: Cross multiply
    198.96x = 274.59 × 116.07
  4. Step 4: Simplify right side
    198.96x = 31,871.66
  5. Step 5: Solve for x
    x = 31,871.66/198.96
  6. Step 6: Final answer
    x = 160.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.