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Finding the Fourth Proportional to 206.88, 308.22 and 198.24

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Solution

The fourth proportional to 206.88, 308.22 and 198.24 is: 295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 308.22 = 198.24 : x
  2. Step 2: Convert to fraction form
    206.88/308.22 = 198.24/x
  3. Step 3: Cross multiply
    206.88x = 308.22 × 198.24
  4. Step 4: Simplify right side
    206.88x = 61,101.53
  5. Step 5: Solve for x
    x = 61,101.53/206.88
  6. Step 6: Final answer
    x = 295.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.