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Finding the Fourth Proportional to 198.71, 274.23 and 155.11

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Solution

The fourth proportional to 198.71, 274.23 and 155.11 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.71 : 274.23 = 155.11 : x
  2. Step 2: Convert to fraction form
    198.71/274.23 = 155.11/x
  3. Step 3: Cross multiply
    198.71x = 274.23 × 155.11
  4. Step 4: Simplify right side
    198.71x = 42,535.82
  5. Step 5: Solve for x
    x = 42,535.82/198.71
  6. Step 6: Final answer
    x = 214.06

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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.