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Finding the Fourth Proportional to 198.88, 274.32 and 147.04

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Solution

The fourth proportional to 198.88, 274.32 and 147.04 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 274.32 = 147.04 : x
  2. Step 2: Convert to fraction form
    198.88/274.32 = 147.04/x
  3. Step 3: Cross multiply
    198.88x = 274.32 × 147.04
  4. Step 4: Simplify right side
    198.88x = 40,336.01
  5. Step 5: Solve for x
    x = 40,336.01/198.88
  6. Step 6: Final answer
    x = 202.82

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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.