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Finding the Fourth Proportional to 198.90, 274.55 and 116.01

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Solution

The fourth proportional to 198.90, 274.55 and 116.01 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.90 : 274.55 = 116.01 : x
  2. Step 2: Convert to fraction form
    198.90/274.55 = 116.01/x
  3. Step 3: Cross multiply
    198.90x = 274.55 × 116.01
  4. Step 4: Simplify right side
    198.90x = 31,849.97
  5. Step 5: Solve for x
    x = 31,849.97/198.90
  6. Step 6: Final answer
    x = 160.13

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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.