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Finding the Fourth Proportional to 198.84, 274.20 and 166.08

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Solution

The fourth proportional to 198.84, 274.20 and 166.08 is: 229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 274.20 = 166.08 : x
  2. Step 2: Convert to fraction form
    198.84/274.20 = 166.08/x
  3. Step 3: Cross multiply
    198.84x = 274.20 × 166.08
  4. Step 4: Simplify right side
    198.84x = 45,539.14
  5. Step 5: Solve for x
    x = 45,539.14/198.84
  6. Step 6: Final answer
    x = 229.02

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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.