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Finding the Fourth Proportional to 204.39, 305.13 and 190.17

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Solution

The fourth proportional to 204.39, 305.13 and 190.17 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.39 : 305.13 = 190.17 : x
  2. Step 2: Convert to fraction form
    204.39/305.13 = 190.17/x
  3. Step 3: Cross multiply
    204.39x = 305.13 × 190.17
  4. Step 4: Simplify right side
    204.39x = 58,026.57
  5. Step 5: Solve for x
    x = 58,026.57/204.39
  6. Step 6: Final answer
    x = 283.90

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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.