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Finding the Fourth Proportional to 198.66, 274.14 and 114.65

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Solution

The fourth proportional to 198.66, 274.14 and 114.65 is: 158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.66 : 274.14 = 114.65 : x
  2. Step 2: Convert to fraction form
    198.66/274.14 = 114.65/x
  3. Step 3: Cross multiply
    198.66x = 274.14 × 114.65
  4. Step 4: Simplify right side
    198.66x = 31,428.78
  5. Step 5: Solve for x
    x = 31,428.78/198.66
  6. Step 6: Final answer
    x = 158.20

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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.