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Finding the Fourth Proportional to 204.81, 305.85 and 194.28

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Solution

The fourth proportional to 204.81, 305.85 and 194.28 is: 290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.81 : 305.85 = 194.28 : x
  2. Step 2: Convert to fraction form
    204.81/305.85 = 194.28/x
  3. Step 3: Cross multiply
    204.81x = 305.85 × 194.28
  4. Step 4: Simplify right side
    204.81x = 59,420.54
  5. Step 5: Solve for x
    x = 59,420.54/204.81
  6. Step 6: Final answer
    x = 290.13

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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.