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Finding the Fourth Proportional to 204.60, 308.25 and 193.80

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Solution

The fourth proportional to 204.60, 308.25 and 193.80 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.60 : 308.25 = 193.80 : x
  2. Step 2: Convert to fraction form
    204.60/308.25 = 193.80/x
  3. Step 3: Cross multiply
    204.60x = 308.25 × 193.80
  4. Step 4: Simplify right side
    204.60x = 59,738.85
  5. Step 5: Solve for x
    x = 59,738.85/204.60
  6. Step 6: Final answer
    x = 291.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.