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Finding the Fourth Proportional to 198.99, 274.41 and 155.25

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Solution

The fourth proportional to 198.99, 274.41 and 155.25 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.99 : 274.41 = 155.25 : x
  2. Step 2: Convert to fraction form
    198.99/274.41 = 155.25/x
  3. Step 3: Cross multiply
    198.99x = 274.41 × 155.25
  4. Step 4: Simplify right side
    198.99x = 42,602.15
  5. Step 5: Solve for x
    x = 42,602.15/198.99
  6. Step 6: Final answer
    x = 214.09

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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.