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Finding the Fourth Proportional to 329.88, 455.10 and 198.84

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Solution

The fourth proportional to 329.88, 455.10 and 198.84 is: 274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.88 : 455.10 = 198.84 : x
  2. Step 2: Convert to fraction form
    329.88/455.10 = 198.84/x
  3. Step 3: Cross multiply
    329.88x = 455.10 × 198.84
  4. Step 4: Simplify right side
    329.88x = 90,492.08
  5. Step 5: Solve for x
    x = 90,492.08/329.88
  6. Step 6: Final answer
    x = 274.32

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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.