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Finding the Fourth Proportional to 204.42, 308.41 and 194.30

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Solution

The fourth proportional to 204.42, 308.41 and 194.30 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.42 : 308.41 = 194.30 : x
  2. Step 2: Convert to fraction form
    204.42/308.41 = 194.30/x
  3. Step 3: Cross multiply
    204.42x = 308.41 × 194.30
  4. Step 4: Simplify right side
    204.42x = 59,924.06
  5. Step 5: Solve for x
    x = 59,924.06/204.42
  6. Step 6: Final answer
    x = 293.14

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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.